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

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


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

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

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

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

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

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

Reorder the terms:
25 + -25 + Y + 35y = 25 + -25 + 34y

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

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

Solving
Y + 35y = 34y

Solving for variable 'Y'.

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

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

Combine like terms: 35y + -35y = 0
Y + 0 = 34y + -35y
Y = 34y + -35y

Combine like terms: 34y + -35y = -1y
Y = -1y

Simplifying
Y = -1y

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