-2.7(y-18)=1.8(y+1.5)

Solution for -2.7(y-18)=1.8(y+1.5) equation:

Simplifying
-2.7(y + -18) = 1.8(y + 1.5)

Reorder the terms:
-2.7(-18 + y) = 1.8(y + 1.5)
(-18 * -2.7 + y * -2.7) = 1.8(y + 1.5)
(48.6 + -2.7y) = 1.8(y + 1.5)

Reorder the terms:
48.6 + -2.7y = 1.8(1.5 + y)
48.6 + -2.7y = (1.5 * 1.8 + y * 1.8)
48.6 + -2.7y = (2.7 + 1.8y)

Solving
48.6 + -2.7y = 2.7 + 1.8y

Solving for variable 'y'.

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

Add '-1.8y' to each side of the equation.
48.6 + -2.7y + -1.8y = 2.7 + 1.8y + -1.8y

Combine like terms: -2.7y + -1.8y = -4.5y
48.6 + -4.5y = 2.7 + 1.8y + -1.8y

Combine like terms: 1.8y + -1.8y = 0.0
48.6 + -4.5y = 2.7 + 0.0
48.6 + -4.5y = 2.7

Add '-48.6' to each side of the equation.
48.6 + -48.6 + -4.5y = 2.7 + -48.6

Combine like terms: 48.6 + -48.6 = 0.0
0.0 + -4.5y = 2.7 + -48.6
-4.5y = 2.7 + -48.6

Combine like terms: 2.7 + -48.6 = -45.9
-4.5y = -45.9

Divide each side by '-4.5'.
y = 10.2

Simplifying
y = 10.2