-4y+6=-2(4y+15)

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Solution for -4y+6=-2(4y+15) equation:


Simplifying
-4y + 6 = -2(4y + 15)

Reorder the terms:
6 + -4y = -2(4y + 15)

Reorder the terms:
6 + -4y = -2(15 + 4y)
6 + -4y = (15 * -2 + 4y * -2)
6 + -4y = (-30 + -8y)

Solving
6 + -4y = -30 + -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.
6 + -4y + 8y = -30 + -8y + 8y

Combine like terms: -4y + 8y = 4y
6 + 4y = -30 + -8y + 8y

Combine like terms: -8y + 8y = 0
6 + 4y = -30 + 0
6 + 4y = -30

Add '-6' to each side of the equation.
6 + -6 + 4y = -30 + -6

Combine like terms: 6 + -6 = 0
0 + 4y = -30 + -6
4y = -30 + -6

Combine like terms: -30 + -6 = -36
4y = -36

Divide each side by '4'.
y = -9

Simplifying
y = -9

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