8(y+4.5)=2(1.8-y)

Solution for 8(y+4.5)=2(1.8-y) equation:

Simplifying
8(y + 4.5) = 2(1.8 + -1y)

Reorder the terms:
8(4.5 + y) = 2(1.8 + -1y)
(4.5 * 8 + y * 8) = 2(1.8 + -1y)
(36 + 8y) = 2(1.8 + -1y)
36 + 8y = (1.8 * 2 + -1y * 2)
36 + 8y = (3.6 + -2y)

Solving
36 + 8y = 3.6 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
36 + 8y + 2y = 3.6 + -2y + 2y

Combine like terms: 8y + 2y = 10y
36 + 10y = 3.6 + -2y + 2y

Combine like terms: -2y + 2y = 0
36 + 10y = 3.6 + 0
36 + 10y = 3.6

Add '-36' to each side of the equation.
36 + -36 + 10y = 3.6 + -36

Combine like terms: 36 + -36 = 0
0 + 10y = 3.6 + -36
10y = 3.6 + -36

Combine like terms: 3.6 + -36 = -32.4
10y = -32.4

Divide each side by '10'.
y = -3.24

Simplifying
y = -3.24