Y+3(7y+5)=15(y+1)+5y

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Solution for Y+3(7y+5)=15(y+1)+5y equation:


Simplifying
Y + 3(7y + 5) = 15(y + 1) + 5y

Reorder the terms:
Y + 3(5 + 7y) = 15(y + 1) + 5y
Y + (5 * 3 + 7y * 3) = 15(y + 1) + 5y
Y + (15 + 21y) = 15(y + 1) + 5y

Reorder the terms:
15 + Y + 21y = 15(y + 1) + 5y

Reorder the terms:
15 + Y + 21y = 15(1 + y) + 5y
15 + Y + 21y = (1 * 15 + y * 15) + 5y
15 + Y + 21y = (15 + 15y) + 5y

Combine like terms: 15y + 5y = 20y
15 + Y + 21y = 15 + 20y

Add '-15' to each side of the equation.
15 + Y + -15 + 21y = 15 + -15 + 20y

Reorder the terms:
15 + -15 + Y + 21y = 15 + -15 + 20y

Combine like terms: 15 + -15 = 0
0 + Y + 21y = 15 + -15 + 20y
Y + 21y = 15 + -15 + 20y

Combine like terms: 15 + -15 = 0
Y + 21y = 0 + 20y
Y + 21y = 20y

Solving
Y + 21y = 20y

Solving for variable 'Y'.

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

Add '-21y' to each side of the equation.
Y + 21y + -21y = 20y + -21y

Combine like terms: 21y + -21y = 0
Y + 0 = 20y + -21y
Y = 20y + -21y

Combine like terms: 20y + -21y = -1y
Y = -1y

Simplifying
Y = -1y

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