16-2(y+12)=4(y-9)-(y-1)

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Solution for 16-2(y+12)=4(y-9)-(y-1) equation:


Simplifying
16 + -2(y + 12) = 4(y + -9) + -1(y + -1)

Reorder the terms:
16 + -2(12 + y) = 4(y + -9) + -1(y + -1)
16 + (12 * -2 + y * -2) = 4(y + -9) + -1(y + -1)
16 + (-24 + -2y) = 4(y + -9) + -1(y + -1)

Combine like terms: 16 + -24 = -8
-8 + -2y = 4(y + -9) + -1(y + -1)

Reorder the terms:
-8 + -2y = 4(-9 + y) + -1(y + -1)
-8 + -2y = (-9 * 4 + y * 4) + -1(y + -1)
-8 + -2y = (-36 + 4y) + -1(y + -1)

Reorder the terms:
-8 + -2y = -36 + 4y + -1(-1 + y)
-8 + -2y = -36 + 4y + (-1 * -1 + y * -1)
-8 + -2y = -36 + 4y + (1 + -1y)

Reorder the terms:
-8 + -2y = -36 + 1 + 4y + -1y

Combine like terms: -36 + 1 = -35
-8 + -2y = -35 + 4y + -1y

Combine like terms: 4y + -1y = 3y
-8 + -2y = -35 + 3y

Solving
-8 + -2y = -35 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-8 + -2y + -3y = -35 + 3y + -3y

Combine like terms: -2y + -3y = -5y
-8 + -5y = -35 + 3y + -3y

Combine like terms: 3y + -3y = 0
-8 + -5y = -35 + 0
-8 + -5y = -35

Add '8' to each side of the equation.
-8 + 8 + -5y = -35 + 8

Combine like terms: -8 + 8 = 0
0 + -5y = -35 + 8
-5y = -35 + 8

Combine like terms: -35 + 8 = -27
-5y = -27

Divide each side by '-5'.
y = 5.4

Simplifying
y = 5.4

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