y+(4(40)+5)+(8y-75)=180

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Solution for y+(4(40)+5)+(8y-75)=180 equation: 


Simplifying
y + (4(40) + 5) + (8y + -75) = 180

Multiply 4 * 40
y + (160 + 5) + (8y + -75) = 180

Combine like terms: 160 + 5 = 165
y + (165) + (8y + -75) = 180
y + 165 + (8y + -75) = 180

Reorder the terms:
y + 165 + (-75 + 8y) = 180

Remove parenthesis around (-75 + 8y)
y + 165 + -75 + 8y = 180

Reorder the terms:
165 + -75 + y + 8y = 180

Combine like terms: 165 + -75 = 90
90 + y + 8y = 180

Combine like terms: y + 8y = 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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