16y-4-6y+8=2(4y-1)

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Solution for 16y-4-6y+8=2(4y-1) equation:


Simplifying
16y + -4 + -6y + 8 = 2(4y + -1)

Reorder the terms:
-4 + 8 + 16y + -6y = 2(4y + -1)

Combine like terms: -4 + 8 = 4
4 + 16y + -6y = 2(4y + -1)

Combine like terms: 16y + -6y = 10y
4 + 10y = 2(4y + -1)

Reorder the terms:
4 + 10y = 2(-1 + 4y)
4 + 10y = (-1 * 2 + 4y * 2)
4 + 10y = (-2 + 8y)

Solving
4 + 10y = -2 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
4 + 10y + -8y = -2 + 8y + -8y

Combine like terms: 10y + -8y = 2y
4 + 2y = -2 + 8y + -8y

Combine like terms: 8y + -8y = 0
4 + 2y = -2 + 0
4 + 2y = -2

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

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

Combine like terms: -2 + -4 = -6
2y = -6

Divide each side by '2'.
y = -3

Simplifying
y = -3

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