2(y-5)+7=4(y+7)-3

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Solution for 2(y-5)+7=4(y+7)-3 equation: 


Simplifying
2(y + -5) + 7 = 4(y + 7) + -3

Reorder the terms:
2(-5 + y) + 7 = 4(y + 7) + -3
(-5 * 2 + y * 2) + 7 = 4(y + 7) + -3
(-10 + 2y) + 7 = 4(y + 7) + -3

Reorder the terms:
-10 + 7 + 2y = 4(y + 7) + -3

Combine like terms: -10 + 7 = -3
-3 + 2y = 4(y + 7) + -3

Reorder the terms:
-3 + 2y = 4(7 + y) + -3
-3 + 2y = (7 * 4 + y * 4) + -3
-3 + 2y = (28 + 4y) + -3

Reorder the terms:
-3 + 2y = 28 + -3 + 4y

Combine like terms: 28 + -3 = 25
-3 + 2y = 25 + 4y

Solving
-3 + 2y = 25 + 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.
-3 + 2y + -4y = 25 + 4y + -4y

Combine like terms: 2y + -4y = -2y
-3 + -2y = 25 + 4y + -4y

Combine like terms: 4y + -4y = 0
-3 + -2y = 25 + 0
-3 + -2y = 25

Add '3' to each side of the equation.
-3 + 3 + -2y = 25 + 3

Combine like terms: -3 + 3 = 0
0 + -2y = 25 + 3
-2y = 25 + 3

Combine like terms: 25 + 3 = 28
-2y = 28

Divide each side by '-2'.
y = -14

Simplifying
y = -14

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