5y+40=45y-180

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Solution for 5y+40=45y-180 equation:


Simplifying
5y + 40 = 45y + -180

Reorder the terms:
40 + 5y = 45y + -180

Reorder the terms:
40 + 5y = -180 + 45y

Solving
40 + 5y = -180 + 45y

Solving for variable 'y'.

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

Add '-45y' to each side of the equation.
40 + 5y + -45y = -180 + 45y + -45y

Combine like terms: 5y + -45y = -40y
40 + -40y = -180 + 45y + -45y

Combine like terms: 45y + -45y = 0
40 + -40y = -180 + 0
40 + -40y = -180

Add '-40' to each side of the equation.
40 + -40 + -40y = -180 + -40

Combine like terms: 40 + -40 = 0
0 + -40y = -180 + -40
-40y = -180 + -40

Combine like terms: -180 + -40 = -220
-40y = -220

Divide each side by '-40'.
y = 5.5

Simplifying
y = 5.5

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