(3y-40)+(4y-32)=180

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Solution for (3y-40)+(4y-32)=180 equation:


Simplifying
(3y + -40) + (4y + -32) = 180

Reorder the terms:
(-40 + 3y) + (4y + -32) = 180

Remove parenthesis around (-40 + 3y)
-40 + 3y + (4y + -32) = 180

Reorder the terms:
-40 + 3y + (-32 + 4y) = 180

Remove parenthesis around (-32 + 4y)
-40 + 3y + -32 + 4y = 180

Reorder the terms:
-40 + -32 + 3y + 4y = 180

Combine like terms: -40 + -32 = -72
-72 + 3y + 4y = 180

Combine like terms: 3y + 4y = 7y
-72 + 7y = 180

Solving
-72 + 7y = 180

Solving for variable 'y'.

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

Add '72' to each side of the equation.
-72 + 72 + 7y = 180 + 72

Combine like terms: -72 + 72 = 0
0 + 7y = 180 + 72
7y = 180 + 72

Combine like terms: 180 + 72 = 252
7y = 252

Divide each side by '7'.
y = 36

Simplifying
y = 36

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