1(y+2)-1.5y=5.2(y-4)

Solution for 1(y+2)-1.5y=5.2(y-4) equation:

Simplifying
1(y + 2) + -1.5y = 5.2(y + -4)

Reorder the terms:
1(2 + y) + -1.5y = 5.2(y + -4)
(2 * 1 + y * 1) + -1.5y = 5.2(y + -4)
(2 + 1y) + -1.5y = 5.2(y + -4)

Combine like terms: 1y + -1.5y = -0.5y
2 + -0.5y = 5.2(y + -4)

Reorder the terms:
2 + -0.5y = 5.2(-4 + y)
2 + -0.5y = (-4 * 5.2 + y * 5.2)
2 + -0.5y = (-20.8 + 5.2y)

Solving
2 + -0.5y = -20.8 + 5.2y

Solving for variable 'y'.

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

Add '-5.2y' to each side of the equation.
2 + -0.5y + -5.2y = -20.8 + 5.2y + -5.2y

Combine like terms: -0.5y + -5.2y = -5.7y
2 + -5.7y = -20.8 + 5.2y + -5.2y

Combine like terms: 5.2y + -5.2y = 0.0
2 + -5.7y = -20.8 + 0.0
2 + -5.7y = -20.8

Add '-2' to each side of the equation.
2 + -2 + -5.7y = -20.8 + -2

Combine like terms: 2 + -2 = 0
0 + -5.7y = -20.8 + -2
-5.7y = -20.8 + -2

Combine like terms: -20.8 + -2 = -22.8
-5.7y = -22.8

Divide each side by '-5.7'.
y = 4

Simplifying
y = 4