3(y+4.5)=7(8.7-y)

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Solution for 3(y+4.5)=7(8.7-y) equation: 


Simplifying
3(y + 4.5) = 7(8.7 + -1y)

Reorder the terms:
3(4.5 + y) = 7(8.7 + -1y)
(4.5 * 3 + y * 3) = 7(8.7 + -1y)
(13.5 + 3y) = 7(8.7 + -1y)
13.5 + 3y = (8.7 * 7 + -1y * 7)
13.5 + 3y = (60.9 + -7y)

Solving
13.5 + 3y = 60.9 + -7y

Solving for variable 'y'.

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

Add '7y' to each side of the equation.
13.5 + 3y + 7y = 60.9 + -7y + 7y

Combine like terms: 3y + 7y = 10y
13.5 + 10y = 60.9 + -7y + 7y

Combine like terms: -7y + 7y = 0
13.5 + 10y = 60.9 + 0
13.5 + 10y = 60.9

Add '-13.5' to each side of the equation.
13.5 + -13.5 + 10y = 60.9 + -13.5

Combine like terms: 13.5 + -13.5 = 0.0
0.0 + 10y = 60.9 + -13.5
10y = 60.9 + -13.5

Combine like terms: 60.9 + -13.5 = 47.4
10y = 47.4

Divide each side by '10'.
y = 4.74

Simplifying
y = 4.74

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