-6y+4=-2(4y+5)

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Solution for -6y+4=-2(4y+5) equation:


Simplifying
-6y + 4 = -2(4y + 5)

Reorder the terms:
4 + -6y = -2(4y + 5)

Reorder the terms:
4 + -6y = -2(5 + 4y)
4 + -6y = (5 * -2 + 4y * -2)
4 + -6y = (-10 + -8y)

Solving
4 + -6y = -10 + -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 + -6y + 8y = -10 + -8y + 8y

Combine like terms: -6y + 8y = 2y
4 + 2y = -10 + -8y + 8y

Combine like terms: -8y + 8y = 0
4 + 2y = -10 + 0
4 + 2y = -10

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

Combine like terms: 4 + -4 = 0
0 + 2y = -10 + -4
2y = -10 + -4

Combine like terms: -10 + -4 = -14
2y = -14

Divide each side by '2'.
y = -7

Simplifying
y = -7

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