180=(4y+7)+(9y+4)

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Solution for 180=(4y+7)+(9y+4) equation:


Simplifying
180 = (4y + 7) + (9y + 4)

Reorder the terms:
180 = (7 + 4y) + (9y + 4)

Remove parenthesis around (7 + 4y)
180 = 7 + 4y + (9y + 4)

Reorder the terms:
180 = 7 + 4y + (4 + 9y)

Remove parenthesis around (4 + 9y)
180 = 7 + 4y + 4 + 9y

Reorder the terms:
180 = 7 + 4 + 4y + 9y

Combine like terms: 7 + 4 = 11
180 = 11 + 4y + 9y

Combine like terms: 4y + 9y = 13y
180 = 11 + 13y

Solving
180 = 11 + 13y

Solving for variable 'y'.

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

Add '-13y' to each side of the equation.
180 + -13y = 11 + 13y + -13y

Combine like terms: 13y + -13y = 0
180 + -13y = 11 + 0
180 + -13y = 11

Add '-180' to each side of the equation.
180 + -180 + -13y = 11 + -180

Combine like terms: 180 + -180 = 0
0 + -13y = 11 + -180
-13y = 11 + -180

Combine like terms: 11 + -180 = -169
-13y = -169

Divide each side by '-13'.
y = 13

Simplifying
y = 13

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