Y+4(4y+2)=8(y+1)+7y

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Solution for Y+4(4y+2)=8(y+1)+7y equation:


Simplifying
Y + 4(4y + 2) = 8(y + 1) + 7y

Reorder the terms:
Y + 4(2 + 4y) = 8(y + 1) + 7y
Y + (2 * 4 + 4y * 4) = 8(y + 1) + 7y
Y + (8 + 16y) = 8(y + 1) + 7y

Reorder the terms:
8 + Y + 16y = 8(y + 1) + 7y

Reorder the terms:
8 + Y + 16y = 8(1 + y) + 7y
8 + Y + 16y = (1 * 8 + y * 8) + 7y
8 + Y + 16y = (8 + 8y) + 7y

Combine like terms: 8y + 7y = 15y
8 + Y + 16y = 8 + 15y

Add '-8' to each side of the equation.
8 + Y + -8 + 16y = 8 + -8 + 15y

Reorder the terms:
8 + -8 + Y + 16y = 8 + -8 + 15y

Combine like terms: 8 + -8 = 0
0 + Y + 16y = 8 + -8 + 15y
Y + 16y = 8 + -8 + 15y

Combine like terms: 8 + -8 = 0
Y + 16y = 0 + 15y
Y + 16y = 15y

Solving
Y + 16y = 15y

Solving for variable 'Y'.

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

Add '-16y' to each side of the equation.
Y + 16y + -16y = 15y + -16y

Combine like terms: 16y + -16y = 0
Y + 0 = 15y + -16y
Y = 15y + -16y

Combine like terms: 15y + -16y = -1y
Y = -1y

Simplifying
Y = -1y

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