Answer
$y=-5$
Work Step by Step
$5y+12=2y-3$
Step 1: is not needed since there are no fractions.
Step 2: is not needed since there are no parentheses.
Step 3: is not needed.
Step 4: the equation is linear.
Step 5:
$5y+12-12=2y-3-12$ (Add -12 to both sides)
$5y-2y=2y-15-2y$ (Add -2y to both sides)
$3y=-15$
Step 6: $\frac{3x}{3}=\frac{-15}{3}$ Divide both sides by 3.
$y=-5$
Final Step: check:
$5\times-5+12=2\times-5-3=-13$