2(y-7)=4(y+1)-26

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Solution for 2(y-7)=4(y+1)-26 equation: 


Simplifying
2(y + -7) = 4(y + 1) + -26

Reorder the terms:
2(-7 + y) = 4(y + 1) + -26
(-7 * 2 + y * 2) = 4(y + 1) + -26
(-14 + 2y) = 4(y + 1) + -26

Reorder the terms:
-14 + 2y = 4(1 + y) + -26
-14 + 2y = (1 * 4 + y * 4) + -26
-14 + 2y = (4 + 4y) + -26

Reorder the terms:
-14 + 2y = 4 + -26 + 4y

Combine like terms: 4 + -26 = -22
-14 + 2y = -22 + 4y

Solving
-14 + 2y = -22 + 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 = -22 + 4y + -4y

Combine like terms: 2y + -4y = -2y
-14 + -2y = -22 + 4y + -4y

Combine like terms: 4y + -4y = 0
-14 + -2y = -22 + 0
-14 + -2y = -22

Add '14' to each side of the equation.
-14 + 14 + -2y = -22 + 14

Combine like terms: -14 + 14 = 0
0 + -2y = -22 + 14
-2y = -22 + 14

Combine like terms: -22 + 14 = -8
-2y = -8

Divide each side by '-2'.
y = 4

Simplifying
y = 4

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