Answer
$y=-\frac{10}{7}$
Work Step by Step
We are given that $-2(5y-1)-y=-4(y-3)$. In order to solve for y, we can first use the distributive property to simplify both sides.
$-2\times(5y-1)-y=-4\times(y-3)$
$-10y+2-y=-4y+12$
Group like terms on the left side.
$-11y+2=-4y+12$
Add 11y to both sides.
$2=7y+12$
Subtract 12 from both sides.
$-10=7y$
Divide both sides by 7.
$y=-\frac{10}{7}$
