3(120-.5y)+2.5y=400

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Solution for 3(120-.5y)+2.5y=400 equation: 


Simplifying
3(120 + -0.5y) + 2.5y = 400
(120 * 3 + -0.5y * 3) + 2.5y = 400
(360 + -1.5y) + 2.5y = 400

Combine like terms: -1.5y + 2.5y = 1y
360 + 1y = 400

Solving
360 + 1y = 400

Solving for variable 'y'.

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

Add '-360' to each side of the equation.
360 + -360 + 1y = 400 + -360

Combine like terms: 360 + -360 = 0
0 + 1y = 400 + -360
1y = 400 + -360

Combine like terms: 400 + -360 = 40
1y = 40

Divide each side by '1'.
y = 40

Simplifying
y = 40

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