-2y+4=2(3y+8)

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Solution for -2y+4=2(3y+8) equation:


Simplifying
-2y + 4 = 2(3y + 8)

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

Reorder the terms:
4 + -2y = 2(8 + 3y)
4 + -2y = (8 * 2 + 3y * 2)
4 + -2y = (16 + 6y)

Solving
4 + -2y = 16 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
4 + -2y + -6y = 16 + 6y + -6y

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

Combine like terms: 6y + -6y = 0
4 + -8y = 16 + 0
4 + -8y = 16

Add '-4' to each side of the equation.
4 + -4 + -8y = 16 + -4

Combine like terms: 4 + -4 = 0
0 + -8y = 16 + -4
-8y = 16 + -4

Combine like terms: 16 + -4 = 12
-8y = 12

Divide each side by '-8'.
y = -1.5

Simplifying
y = -1.5

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