$\color{#FF6800}{ 0.2 } \left ( \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \right ) = 0.6 y - 1$
$ $ Multiply each term in parentheses by $ 0.2$
$\color{#FF6800}{ 0.2 } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 0.2 } \color{#FF6800}{ \times } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 3 } \right ) = 0.6 y - 1$
$\color{#FF6800}{ 0.2 } \color{#FF6800}{ y } + 0.2 \times \left ( - 3 \right ) = 0.6 y - 1$
$ $ Calculate the multiplication expression $ $
$\color{#FF6800}{ \dfrac { y } { 5 } } + 0.2 \times \left ( - 3 \right ) = 0.6 y - 1$
$\dfrac { y } { 5 } + \color{#FF6800}{ 0.2 } \color{#FF6800}{ \times } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 3 } \right ) = 0.6 y - 1$
$ $ Multiply $ 0.2 $ and $ - 3$
$\dfrac { y } { 5 } \color{#FF6800}{ - } \color{#FF6800}{ 0.6 } = 0.6 y - 1$
$\dfrac { y } { 5 } \color{#FF6800}{ - } \color{#FF6800}{ 0.6 } = 0.6 y - 1$
$ $ Convert decimals to fractions $ $
$\dfrac { y } { 5 } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 3 } { 5 } } = 0.6 y - 1$
$\dfrac { y } { 5 } - \dfrac { 3 } { 5 } = \color{#FF6800}{ 0.6 } \color{#FF6800}{ y } - 1$
$ $ Calculate the multiplication expression $ $
$\dfrac { y } { 5 } - \dfrac { 3 } { 5 } = \color{#FF6800}{ \dfrac { 3 y } { 5 } } - 1$
$\color{#FF6800}{ \dfrac { y } { 5 } } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 3 } { 5 } } = \color{#FF6800}{ \dfrac { 3 y } { 5 } } \color{#FF6800}{ - } \color{#FF6800}{ 1 }$
$ $ Multiply both sides by the least common multiple for the denominators to eliminate the fraction $ $
$\color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ 3 } = \color{#FF6800}{ 3 } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ 5 }$
$\color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ 3 } = \color{#FF6800}{ 3 } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ 5 }$
$ $ Organize the expression $ $
$\color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ y } = \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ + } \color{#FF6800}{ 3 }$
$\color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ y } = - 5 + 3$
$ $ Organize the expression $ $
$\color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ y } = - 5 + 3$
$\color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ y } = \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ + } \color{#FF6800}{ 3 }$
$ $ Organize the expression $ $
$\color{#FF6800}{ 2 } \color{#FF6800}{ y } = \color{#FF6800}{ 2 }$
$\color{#FF6800}{ 2 } \color{#FF6800}{ y } = \color{#FF6800}{ 2 }$
$ $ Divide both sides by the same number $ $
$\color{#FF6800}{ y } = \color{#FF6800}{ 1 }$