y+7(7y+5)=25(y+1)+9y

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Solution for y+7(7y+5)=25(y+1)+9y equation: 


Simplifying
y + 7(7y + 5) = 25(y + 1) + 9y

Reorder the terms:
y + 7(5 + 7y) = 25(y + 1) + 9y
y + (5 * 7 + 7y * 7) = 25(y + 1) + 9y
y + (35 + 49y) = 25(y + 1) + 9y

Reorder the terms:
35 + y + 49y = 25(y + 1) + 9y

Combine like terms: y + 49y = 50y
35 + 50y = 25(y + 1) + 9y

Reorder the terms:
35 + 50y = 25(1 + y) + 9y
35 + 50y = (1 * 25 + y * 25) + 9y
35 + 50y = (25 + 25y) + 9y

Combine like terms: 25y + 9y = 34y
35 + 50y = 25 + 34y

Solving
35 + 50y = 25 + 34y

Solving for variable 'y'.

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

Add '-34y' to each side of the equation.
35 + 50y + -34y = 25 + 34y + -34y

Combine like terms: 50y + -34y = 16y
35 + 16y = 25 + 34y + -34y

Combine like terms: 34y + -34y = 0
35 + 16y = 25 + 0
35 + 16y = 25

Add '-35' to each side of the equation.
35 + -35 + 16y = 25 + -35

Combine like terms: 35 + -35 = 0
0 + 16y = 25 + -35
16y = 25 + -35

Combine like terms: 25 + -35 = -10
16y = -10

Divide each side by '16'.
y = -0.625

Simplifying
y = -0.625

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