-1.6(2y+15)=-1.2(2y+23)

Solution for -1.6(2y+15)=-1.2(2y+23) equation:

Simplifying
-1.6(2y + 15) = -1.2(2y + 23)

Reorder the terms:
-1.6(15 + 2y) = -1.2(2y + 23)
(15 * -1.6 + 2y * -1.6) = -1.2(2y + 23)
(-24 + -3.2y) = -1.2(2y + 23)

Reorder the terms:
-24 + -3.2y = -1.2(23 + 2y)
-24 + -3.2y = (23 * -1.2 + 2y * -1.2)
-24 + -3.2y = (-27.6 + -2.4y)

Solving
-24 + -3.2y = -27.6 + -2.4y

Solving for variable 'y'.

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

Add '2.4y' to each side of the equation.
-24 + -3.2y + 2.4y = -27.6 + -2.4y + 2.4y

Combine like terms: -3.2y + 2.4y = -0.8y
-24 + -0.8y = -27.6 + -2.4y + 2.4y

Combine like terms: -2.4y + 2.4y = 0.0
-24 + -0.8y = -27.6 + 0.0
-24 + -0.8y = -27.6

Add '24' to each side of the equation.
-24 + 24 + -0.8y = -27.6 + 24

Combine like terms: -24 + 24 = 0
0 + -0.8y = -27.6 + 24
-0.8y = -27.6 + 24

Combine like terms: -27.6 + 24 = -3.6
-0.8y = -3.6

Divide each side by '-0.8'.
y = 4.5

Simplifying
y = 4.5