Y+5(5y+3)=15(y+1)+9y

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Solution for Y+5(5y+3)=15(y+1)+9y equation: 


Simplifying
Y + 5(5y + 3) = 15(y + 1) + 9y

Reorder the terms:
Y + 5(3 + 5y) = 15(y + 1) + 9y
Y + (3 * 5 + 5y * 5) = 15(y + 1) + 9y
Y + (15 + 25y) = 15(y + 1) + 9y

Reorder the terms:
15 + Y + 25y = 15(y + 1) + 9y

Reorder the terms:
15 + Y + 25y = 15(1 + y) + 9y
15 + Y + 25y = (1 * 15 + y * 15) + 9y
15 + Y + 25y = (15 + 15y) + 9y

Combine like terms: 15y + 9y = 24y
15 + Y + 25y = 15 + 24y

Add '-15' to each side of the equation.
15 + Y + -15 + 25y = 15 + -15 + 24y

Reorder the terms:
15 + -15 + Y + 25y = 15 + -15 + 24y

Combine like terms: 15 + -15 = 0
0 + Y + 25y = 15 + -15 + 24y
Y + 25y = 15 + -15 + 24y

Combine like terms: 15 + -15 = 0
Y + 25y = 0 + 24y
Y + 25y = 24y

Solving
Y + 25y = 24y

Solving for variable 'Y'.

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

Add '-25y' to each side of the equation.
Y + 25y + -25y = 24y + -25y

Combine like terms: 25y + -25y = 0
Y + 0 = 24y + -25y
Y = 24y + -25y

Combine like terms: 24y + -25y = -1y
Y = -1y

Simplifying
Y = -1y

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