8y-6=1.5(6y+15)

Solution for 8y-6=1.5(6y+15) equation:

Simplifying
8y + -6 = 1.5(6y + 15)

Reorder the terms:
-6 + 8y = 1.5(6y + 15)

Reorder the terms:
-6 + 8y = 1.5(15 + 6y)
-6 + 8y = (15 * 1.5 + 6y * 1.5)
-6 + 8y = (22.5 + 9y)

Solving
-6 + 8y = 22.5 + 9y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-9y' to each side of the equation.
-6 + 8y + -9y = 22.5 + 9y + -9y

Combine like terms: 8y + -9y = -1y
-6 + -1y = 22.5 + 9y + -9y

Combine like terms: 9y + -9y = 0
-6 + -1y = 22.5 + 0
-6 + -1y = 22.5

Add '6' to each side of the equation.
-6 + 6 + -1y = 22.5 + 6

Combine like terms: -6 + 6 = 0
0 + -1y = 22.5 + 6
-1y = 22.5 + 6

Combine like terms: 22.5 + 6 = 28.5
-1y = 28.5

Divide each side by '-1'.
y = -28.5

Simplifying
y = -28.5