3y-4(y-2)=16-3(y-2)

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Solution for 3y-4(y-2)=16-3(y-2) equation:


Simplifying
3y + -4(y + -2) = 16 + -3(y + -2)

Reorder the terms:
3y + -4(-2 + y) = 16 + -3(y + -2)
3y + (-2 * -4 + y * -4) = 16 + -3(y + -2)
3y + (8 + -4y) = 16 + -3(y + -2)

Reorder the terms:
8 + 3y + -4y = 16 + -3(y + -2)

Combine like terms: 3y + -4y = -1y
8 + -1y = 16 + -3(y + -2)

Reorder the terms:
8 + -1y = 16 + -3(-2 + y)
8 + -1y = 16 + (-2 * -3 + y * -3)
8 + -1y = 16 + (6 + -3y)

Combine like terms: 16 + 6 = 22
8 + -1y = 22 + -3y

Solving
8 + -1y = 22 + -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 + -1y + 3y = 22 + -3y + 3y

Combine like terms: -1y + 3y = 2y
8 + 2y = 22 + -3y + 3y

Combine like terms: -3y + 3y = 0
8 + 2y = 22 + 0
8 + 2y = 22

Add '-8' to each side of the equation.
8 + -8 + 2y = 22 + -8

Combine like terms: 8 + -8 = 0
0 + 2y = 22 + -8
2y = 22 + -8

Combine like terms: 22 + -8 = 14
2y = 14

Divide each side by '2'.
y = 7

Simplifying
y = 7

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