8-(-y-4)=3(y+3)-7(y+3)

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Solution for 8-(-y-4)=3(y+3)-7(y+3) equation:


Simplifying
8 + -1(-1y + -4) = 3(y + 3) + -7(y + 3)

Reorder the terms:
8 + -1(-4 + -1y) = 3(y + 3) + -7(y + 3)
8 + (-4 * -1 + -1y * -1) = 3(y + 3) + -7(y + 3)
8 + (4 + 1y) = 3(y + 3) + -7(y + 3)

Combine like terms: 8 + 4 = 12
12 + 1y = 3(y + 3) + -7(y + 3)

Reorder the terms:
12 + 1y = 3(3 + y) + -7(y + 3)
12 + 1y = (3 * 3 + y * 3) + -7(y + 3)
12 + 1y = (9 + 3y) + -7(y + 3)

Reorder the terms:
12 + 1y = 9 + 3y + -7(3 + y)
12 + 1y = 9 + 3y + (3 * -7 + y * -7)
12 + 1y = 9 + 3y + (-21 + -7y)

Reorder the terms:
12 + 1y = 9 + -21 + 3y + -7y

Combine like terms: 9 + -21 = -12
12 + 1y = -12 + 3y + -7y

Combine like terms: 3y + -7y = -4y
12 + 1y = -12 + -4y

Solving
12 + 1y = -12 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
12 + 1y + 4y = -12 + -4y + 4y

Combine like terms: 1y + 4y = 5y
12 + 5y = -12 + -4y + 4y

Combine like terms: -4y + 4y = 0
12 + 5y = -12 + 0
12 + 5y = -12

Add '-12' to each side of the equation.
12 + -12 + 5y = -12 + -12

Combine like terms: 12 + -12 = 0
0 + 5y = -12 + -12
5y = -12 + -12

Combine like terms: -12 + -12 = -24
5y = -24

Divide each side by '5'.
y = -4.8

Simplifying
y = -4.8

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