7(2y-1)-5y=y+25

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Solution for 7(2y-1)-5y=y+25 equation:


Simplifying
7(2y + -1) + -5y = y + 25

Reorder the terms:
7(-1 + 2y) + -5y = y + 25
(-1 * 7 + 2y * 7) + -5y = y + 25
(-7 + 14y) + -5y = y + 25

Combine like terms: 14y + -5y = 9y
-7 + 9y = y + 25

Reorder the terms:
-7 + 9y = 25 + y

Solving
-7 + 9y = 25 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
-7 + 9y + -1y = 25 + y + -1y

Combine like terms: 9y + -1y = 8y
-7 + 8y = 25 + y + -1y

Combine like terms: y + -1y = 0
-7 + 8y = 25 + 0
-7 + 8y = 25

Add '7' to each side of the equation.
-7 + 7 + 8y = 25 + 7

Combine like terms: -7 + 7 = 0
0 + 8y = 25 + 7
8y = 25 + 7

Combine like terms: 25 + 7 = 32
8y = 32

Divide each side by '8'.
y = 4

Simplifying
y = 4

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