5y-(2(y+1)+2)=7y

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Solution for 5y-(2(y+1)+2)=7y equation:


Simplifying
5y + -1(2(y + 1) + 2) = 7y

Reorder the terms:
5y + -1(2(1 + y) + 2) = 7y
5y + -1((1 * 2 + y * 2) + 2) = 7y
5y + -1((2 + 2y) + 2) = 7y

Reorder the terms:
5y + -1(2 + 2 + 2y) = 7y

Combine like terms: 2 + 2 = 4
5y + -1(4 + 2y) = 7y
5y + (4 * -1 + 2y * -1) = 7y
5y + (-4 + -2y) = 7y

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

Combine like terms: 5y + -2y = 3y
-4 + 3y = 7y

Solving
-4 + 3y = 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.
-4 + 3y + -7y = 7y + -7y

Combine like terms: 3y + -7y = -4y
-4 + -4y = 7y + -7y

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

Add '4' to each side of the equation.
-4 + 4 + -4y = 0 + 4

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

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

Divide each side by '-4'.
y = -1

Simplifying
y = -1

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