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

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


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

Reorder the terms:
2(-7 + y) = 4(y + 6)
(-7 * 2 + y * 2) = 4(y + 6)
(-14 + 2y) = 4(y + 6)

Reorder the terms:
-14 + 2y = 4(6 + y)
-14 + 2y = (6 * 4 + y * 4)
-14 + 2y = (24 + 4y)

Solving
-14 + 2y = 24 + 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.
-14 + 2y + -4y = 24 + 4y + -4y

Combine like terms: 2y + -4y = -2y
-14 + -2y = 24 + 4y + -4y

Combine like terms: 4y + -4y = 0
-14 + -2y = 24 + 0
-14 + -2y = 24

Add '14' to each side of the equation.
-14 + 14 + -2y = 24 + 14

Combine like terms: -14 + 14 = 0
0 + -2y = 24 + 14
-2y = 24 + 14

Combine like terms: 24 + 14 = 38
-2y = 38

Divide each side by '-2'.
y = -19

Simplifying
y = -19

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