40y=(y-6.5)*45

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Solution for 40y=(y-6.5)*45 equation:


Simplifying
40y = (y + -6.5) * 45

Reorder the terms:
40y = (-6.5 + y) * 45

Reorder the terms for easier multiplication:
40y = 45(-6.5 + y)
40y = (-6.5 * 45 + y * 45)
40y = (-292.5 + 45y)

Solving
40y = -292.5 + 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.
40y + -45y = -292.5 + 45y + -45y

Combine like terms: 40y + -45y = -5y
-5y = -292.5 + 45y + -45y

Combine like terms: 45y + -45y = 0
-5y = -292.5 + 0
-5y = -292.5

Divide each side by '-5'.
y = 58.5

Simplifying
y = 58.5

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