0.9(y+1)=0.8(y+1.5)

Solution for 0.9(y+1)=0.8(y+1.5) equation:

Simplifying
0.9(y + 1) = 0.8(y + 1.5)

Reorder the terms:
0.9(1 + y) = 0.8(y + 1.5)
(1 * 0.9 + y * 0.9) = 0.8(y + 1.5)
(0.9 + 0.9y) = 0.8(y + 1.5)

Reorder the terms:
0.9 + 0.9y = 0.8(1.5 + y)
0.9 + 0.9y = (1.5 * 0.8 + y * 0.8)
0.9 + 0.9y = (1.2 + 0.8y)

Solving
0.9 + 0.9y = 1.2 + 0.8y

Solving for variable 'y'.

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

Add '-0.8y' to each side of the equation.
0.9 + 0.9y + -0.8y = 1.2 + 0.8y + -0.8y

Combine like terms: 0.9y + -0.8y = 0.1y
0.9 + 0.1y = 1.2 + 0.8y + -0.8y

Combine like terms: 0.8y + -0.8y = 0.0
0.9 + 0.1y = 1.2 + 0.0
0.9 + 0.1y = 1.2

Add '-0.9' to each side of the equation.
0.9 + -0.9 + 0.1y = 1.2 + -0.9

Combine like terms: 0.9 + -0.9 = 0.0
0.0 + 0.1y = 1.2 + -0.9
0.1y = 1.2 + -0.9

Combine like terms: 1.2 + -0.9 = 0.3
0.1y = 0.3

Divide each side by '0.1'.
y = 3

Simplifying
y = 3