-4y+34=-2(y-7)

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Solution for -4y+34=-2(y-7) equation: 


Simplifying
-4y + 34 = -2(y + -7)

Reorder the terms:
34 + -4y = -2(y + -7)

Reorder the terms:
34 + -4y = -2(-7 + y)
34 + -4y = (-7 * -2 + y * -2)
34 + -4y = (14 + -2y)

Solving
34 + -4y = 14 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
34 + -4y + 2y = 14 + -2y + 2y

Combine like terms: -4y + 2y = -2y
34 + -2y = 14 + -2y + 2y

Combine like terms: -2y + 2y = 0
34 + -2y = 14 + 0
34 + -2y = 14

Add '-34' to each side of the equation.
34 + -34 + -2y = 14 + -34

Combine like terms: 34 + -34 = 0
0 + -2y = 14 + -34
-2y = 14 + -34

Combine like terms: 14 + -34 = -20
-2y = -20

Divide each side by '-2'.
y = 10

Simplifying
y = 10

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