-2(2y-7)-2y+5=7-4y

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Solution for -2(2y-7)-2y+5=7-4y equation:


Simplifying
-2(2y + -7) + -2y + 5 = 7 + -4y

Reorder the terms:
-2(-7 + 2y) + -2y + 5 = 7 + -4y
(-7 * -2 + 2y * -2) + -2y + 5 = 7 + -4y
(14 + -4y) + -2y + 5 = 7 + -4y

Reorder the terms:
14 + 5 + -4y + -2y = 7 + -4y

Combine like terms: 14 + 5 = 19
19 + -4y + -2y = 7 + -4y

Combine like terms: -4y + -2y = -6y
19 + -6y = 7 + -4y

Solving
19 + -6y = 7 + -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.
19 + -6y + 4y = 7 + -4y + 4y

Combine like terms: -6y + 4y = -2y
19 + -2y = 7 + -4y + 4y

Combine like terms: -4y + 4y = 0
19 + -2y = 7 + 0
19 + -2y = 7

Add '-19' to each side of the equation.
19 + -19 + -2y = 7 + -19

Combine like terms: 19 + -19 = 0
0 + -2y = 7 + -19
-2y = 7 + -19

Combine like terms: 7 + -19 = -12
-2y = -12

Divide each side by '-2'.
y = 6

Simplifying
y = 6

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