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

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


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

Reorder the terms:
7(-7 + y) + 4y = -2(y + 5)
(-7 * 7 + y * 7) + 4y = -2(y + 5)
(-49 + 7y) + 4y = -2(y + 5)

Combine like terms: 7y + 4y = 11y
-49 + 11y = -2(y + 5)

Reorder the terms:
-49 + 11y = -2(5 + y)
-49 + 11y = (5 * -2 + y * -2)
-49 + 11y = (-10 + -2y)

Solving
-49 + 11y = -10 + -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.
-49 + 11y + 2y = -10 + -2y + 2y

Combine like terms: 11y + 2y = 13y
-49 + 13y = -10 + -2y + 2y

Combine like terms: -2y + 2y = 0
-49 + 13y = -10 + 0
-49 + 13y = -10

Add '49' to each side of the equation.
-49 + 49 + 13y = -10 + 49

Combine like terms: -49 + 49 = 0
0 + 13y = -10 + 49
13y = -10 + 49

Combine like terms: -10 + 49 = 39
13y = 39

Divide each side by '13'.
y = 3

Simplifying
y = 3

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