3/4 y +8=1/3 y-7
3/4 y + 8 = 1/3 y - 7
3/4 y - 1/3 y = -7 - 8 = -15
Multiply by 12 to eliminate the fractions.
12 (3/4 y - 1/3 y) = -15 * 12
9y - 4y = -180
5y = -180
y = -36
Be sure to verify the answer by putting
that value into the original equation.
3/4 y + 8 = 1/3 y - 7
3/4 (-36) + 8 = 1/3 (-36) - 7
-27 + 8 = -12 - 7
-19 = -19