7.5(7y-5)=-28.5-3y

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Solution for 7.5(7y-5)=-28.5-3y equation: 


Simplifying
7.5(7y + -5) = -28.5 + -3y

Reorder the terms:
7.5(-5 + 7y) = -28.5 + -3y
(-5 * 7.5 + 7y * 7.5) = -28.5 + -3y
(-37.5 + 52.5y) = -28.5 + -3y

Solving
-37.5 + 52.5y = -28.5 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
-37.5 + 52.5y + 3y = -28.5 + -3y + 3y

Combine like terms: 52.5y + 3y = 55.5y
-37.5 + 55.5y = -28.5 + -3y + 3y

Combine like terms: -3y + 3y = 0
-37.5 + 55.5y = -28.5 + 0
-37.5 + 55.5y = -28.5

Add '37.5' to each side of the equation.
-37.5 + 37.5 + 55.5y = -28.5 + 37.5

Combine like terms: -37.5 + 37.5 = 0.0
0.0 + 55.5y = -28.5 + 37.5
55.5y = -28.5 + 37.5

Combine like terms: -28.5 + 37.5 = 9
55.5y = 9

Divide each side by '55.5'.
y = 0.1621621622

Simplifying
y = 0.1621621622

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