solve for y.\n-5y + 4(4y - 3) = 5y\ny =

Explanation:

Step1: Expand the expression

$$ \begin{align*} -5y + 4(4y - 3)&=5y\ -5y+16y - 12&=5y \end{align*} $$

Step2: Combine like - terms

$$ \begin{align*} (-5y + 16y)-12&=5y\ 11y-12&=5y \end{align*} $$

Step3: Move terms with (y) to one side

Subtract (5y) from both sides: $$ \begin{align*} 11y-5y-12&=5y - 5y\ 6y-12&=0 \end{align*} $$

Step4: Isolate (y)

Add (12) to both sides: $$ \begin{align*} 6y-12 + 12&=0+12\ 6y&=12 \end{align*} $$ Divide both sides by (6): $$y=\frac{12}{6}$$

Answer:

(y = 2)