9-(y-3)+4y=4y-5(y+2)-6

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Solution for 9-(y-3)+4y=4y-5(y+2)-6 equation:


Simplifying
9 + -1(y + -3) + 4y = 4y + -5(y + 2) + -6

Reorder the terms:
9 + -1(-3 + y) + 4y = 4y + -5(y + 2) + -6
9 + (-3 * -1 + y * -1) + 4y = 4y + -5(y + 2) + -6
9 + (3 + -1y) + 4y = 4y + -5(y + 2) + -6

Combine like terms: 9 + 3 = 12
12 + -1y + 4y = 4y + -5(y + 2) + -6

Combine like terms: -1y + 4y = 3y
12 + 3y = 4y + -5(y + 2) + -6

Reorder the terms:
12 + 3y = 4y + -5(2 + y) + -6
12 + 3y = 4y + (2 * -5 + y * -5) + -6
12 + 3y = 4y + (-10 + -5y) + -6

Reorder the terms:
12 + 3y = -10 + -6 + 4y + -5y

Combine like terms: -10 + -6 = -16
12 + 3y = -16 + 4y + -5y

Combine like terms: 4y + -5y = -1y
12 + 3y = -16 + -1y

Solving
12 + 3y = -16 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
12 + 3y + y = -16 + -1y + y

Combine like terms: 3y + y = 4y
12 + 4y = -16 + -1y + y

Combine like terms: -1y + y = 0
12 + 4y = -16 + 0
12 + 4y = -16

Add '-12' to each side of the equation.
12 + -12 + 4y = -16 + -12

Combine like terms: 12 + -12 = 0
0 + 4y = -16 + -12
4y = -16 + -12

Combine like terms: -16 + -12 = -28
4y = -28

Divide each side by '4'.
y = -7

Simplifying
y = -7

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