15y-150+40y+30=45y-50

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Solution for 15y-150+40y+30=45y-50 equation: 


Simplifying
15y + -150 + 40y + 30 = 45y + -50

Reorder the terms:
-150 + 30 + 15y + 40y = 45y + -50

Combine like terms: -150 + 30 = -120
-120 + 15y + 40y = 45y + -50

Combine like terms: 15y + 40y = 55y
-120 + 55y = 45y + -50

Reorder the terms:
-120 + 55y = -50 + 45y

Solving
-120 + 55y = -50 + 45y

Solving for variable 'y'.

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

Add '-45y' to each side of the equation.
-120 + 55y + -45y = -50 + 45y + -45y

Combine like terms: 55y + -45y = 10y
-120 + 10y = -50 + 45y + -45y

Combine like terms: 45y + -45y = 0
-120 + 10y = -50 + 0
-120 + 10y = -50

Add '120' to each side of the equation.
-120 + 120 + 10y = -50 + 120

Combine like terms: -120 + 120 = 0
0 + 10y = -50 + 120
10y = -50 + 120

Combine like terms: -50 + 120 = 70
10y = 70

Divide each side by '10'.
y = 7

Simplifying
y = 7

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