-4y+2=2(4y+9)

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


Simplifying
-4y + 2 = 2(4y + 9)

Reorder the terms:
2 + -4y = 2(4y + 9)

Reorder the terms:
2 + -4y = 2(9 + 4y)
2 + -4y = (9 * 2 + 4y * 2)
2 + -4y = (18 + 8y)

Solving
2 + -4y = 18 + 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.
2 + -4y + -8y = 18 + 8y + -8y

Combine like terms: -4y + -8y = -12y
2 + -12y = 18 + 8y + -8y

Combine like terms: 8y + -8y = 0
2 + -12y = 18 + 0
2 + -12y = 18

Add '-2' to each side of the equation.
2 + -2 + -12y = 18 + -2

Combine like terms: 2 + -2 = 0
0 + -12y = 18 + -2
-12y = 18 + -2

Combine like terms: 18 + -2 = 16
-12y = 16

Divide each side by '-12'.
y = -1.333333333

Simplifying
y = -1.333333333

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