6y+2=4(y-7)

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Solution for 6y+2=4(y-7) equation:


Simplifying
6y + 2 = 4(y + -7)

Reorder the terms:
2 + 6y = 4(y + -7)

Reorder the terms:
2 + 6y = 4(-7 + y)
2 + 6y = (-7 * 4 + y * 4)
2 + 6y = (-28 + 4y)

Solving
2 + 6y = -28 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
2 + 6y + -4y = -28 + 4y + -4y

Combine like terms: 6y + -4y = 2y
2 + 2y = -28 + 4y + -4y

Combine like terms: 4y + -4y = 0
2 + 2y = -28 + 0
2 + 2y = -28

Add '-2' to each side of the equation.
2 + -2 + 2y = -28 + -2

Combine like terms: 2 + -2 = 0
0 + 2y = -28 + -2
2y = -28 + -2

Combine like terms: -28 + -2 = -30
2y = -30

Divide each side by '2'.
y = -15

Simplifying
y = -15

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