1.2(y-1)=-1.3(y+1.5)

Solution for 1.2(y-1)=-1.3(y+1.5) equation:

Simplifying
1.2(y + -1) = -1.3(y + 1.5)

Reorder the terms:
1.2(-1 + y) = -1.3(y + 1.5)
(-1 * 1.2 + y * 1.2) = -1.3(y + 1.5)
(-1.2 + 1.2y) = -1.3(y + 1.5)

Reorder the terms:
-1.2 + 1.2y = -1.3(1.5 + y)
-1.2 + 1.2y = (1.5 * -1.3 + y * -1.3)
-1.2 + 1.2y = (-1.95 + -1.3y)

Solving
-1.2 + 1.2y = -1.95 + -1.3y

Solving for variable 'y'.

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

Add '1.3y' to each side of the equation.
-1.2 + 1.2y + 1.3y = -1.95 + -1.3y + 1.3y

Combine like terms: 1.2y + 1.3y = 2.5y
-1.2 + 2.5y = -1.95 + -1.3y + 1.3y

Combine like terms: -1.3y + 1.3y = 0.0
-1.2 + 2.5y = -1.95 + 0.0
-1.2 + 2.5y = -1.95

Add '1.2' to each side of the equation.
-1.2 + 1.2 + 2.5y = -1.95 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + 2.5y = -1.95 + 1.2
2.5y = -1.95 + 1.2

Combine like terms: -1.95 + 1.2 = -0.75
2.5y = -0.75

Divide each side by '2.5'.
y = -0.3

Simplifying
y = -0.3