7y+3-2(-2y-2)=7(y-1)

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Solution for 7y+3-2(-2y-2)=7(y-1) equation:


Simplifying
7y + 3 + -2(-2y + -2) = 7(y + -1)

Reorder the terms:
7y + 3 + -2(-2 + -2y) = 7(y + -1)
7y + 3 + (-2 * -2 + -2y * -2) = 7(y + -1)
7y + 3 + (4 + 4y) = 7(y + -1)

Reorder the terms:
3 + 4 + 7y + 4y = 7(y + -1)

Combine like terms: 3 + 4 = 7
7 + 7y + 4y = 7(y + -1)

Combine like terms: 7y + 4y = 11y
7 + 11y = 7(y + -1)

Reorder the terms:
7 + 11y = 7(-1 + y)
7 + 11y = (-1 * 7 + y * 7)
7 + 11y = (-7 + 7y)

Solving
7 + 11y = -7 + 7y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-7y' to each side of the equation.
7 + 11y + -7y = -7 + 7y + -7y

Combine like terms: 11y + -7y = 4y
7 + 4y = -7 + 7y + -7y

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

Add '-7' to each side of the equation.
7 + -7 + 4y = -7 + -7

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

Combine like terms: -7 + -7 = -14
4y = -14

Divide each side by '4'.
y = -3.5

Simplifying
y = -3.5

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