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

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


Simplifying
16 + -1(3 + -4y) = 2(y + 2)
16 + (3 * -1 + -4y * -1) = 2(y + 2)
16 + (-3 + 4y) = 2(y + 2)

Combine like terms: 16 + -3 = 13
13 + 4y = 2(y + 2)

Reorder the terms:
13 + 4y = 2(2 + y)
13 + 4y = (2 * 2 + y * 2)
13 + 4y = (4 + 2y)

Solving
13 + 4y = 4 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
13 + 4y + -2y = 4 + 2y + -2y

Combine like terms: 4y + -2y = 2y
13 + 2y = 4 + 2y + -2y

Combine like terms: 2y + -2y = 0
13 + 2y = 4 + 0
13 + 2y = 4

Add '-13' to each side of the equation.
13 + -13 + 2y = 4 + -13

Combine like terms: 13 + -13 = 0
0 + 2y = 4 + -13
2y = 4 + -13

Combine like terms: 4 + -13 = -9
2y = -9

Divide each side by '2'.
y = -4.5

Simplifying
y = -4.5

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