(8y-55)+(4(35)+5)+y=180

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Solution for (8y-55)+(4(35)+5)+y=180 equation:


Simplifying
(8y + -55) + (4(35) + 5) + y = 180

Reorder the terms:
(-55 + 8y) + (4(35) + 5) + y = 180

Remove parenthesis around (-55 + 8y)
-55 + 8y + (4(35) + 5) + y = 180

Multiply 4 * 35
-55 + 8y + (140 + 5) + y = 180

Combine like terms: 140 + 5 = 145
-55 + 8y + (145) + y = 180
-55 + 8y + 145 + y = 180

Reorder the terms:
-55 + 145 + 8y + y = 180

Combine like terms: -55 + 145 = 90
90 + 8y + y = 180

Combine like terms: 8y + y = 9y
90 + 9y = 180

Solving
90 + 9y = 180

Solving for variable 'y'.

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

Add '-90' to each side of the equation.
90 + -90 + 9y = 180 + -90

Combine like terms: 90 + -90 = 0
0 + 9y = 180 + -90
9y = 180 + -90

Combine like terms: 180 + -90 = 90
9y = 90

Divide each side by '9'.
y = 10

Simplifying
y = 10

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