(y+7)2.5=(2y-4)3.5

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Solution for (y+7)2.5=(2y-4)3.5 equation: 


Simplifying
(y + 7) * 2.5 = (2y + -4) * 3.5

Reorder the terms:
(7 + y) * 2.5 = (2y + -4) * 3.5

Reorder the terms for easier multiplication:
2.5(7 + y) = (2y + -4) * 3.5
(7 * 2.5 + y * 2.5) = (2y + -4) * 3.5
(17.5 + 2.5y) = (2y + -4) * 3.5

Reorder the terms:
17.5 + 2.5y = (-4 + 2y) * 3.5

Reorder the terms for easier multiplication:
17.5 + 2.5y = 3.5(-4 + 2y)
17.5 + 2.5y = (-4 * 3.5 + 2y * 3.5)
17.5 + 2.5y = (-14 + 7y)

Solving
17.5 + 2.5y = -14 + 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.
17.5 + 2.5y + -7y = -14 + 7y + -7y

Combine like terms: 2.5y + -7y = -4.5y
17.5 + -4.5y = -14 + 7y + -7y

Combine like terms: 7y + -7y = 0
17.5 + -4.5y = -14 + 0
17.5 + -4.5y = -14

Add '-17.5' to each side of the equation.
17.5 + -17.5 + -4.5y = -14 + -17.5

Combine like terms: 17.5 + -17.5 = 0.0
0.0 + -4.5y = -14 + -17.5
-4.5y = -14 + -17.5

Combine like terms: -14 + -17.5 = -31.5
-4.5y = -31.5

Divide each side by '-4.5'.
y = 7

Simplifying
y = 7

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