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

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


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

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

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

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

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

Reorder the terms:
4 + 7y = 10 + -5 + 5y

Combine like terms: 10 + -5 = 5
4 + 7y = 5 + 5y

Solving
4 + 7y = 5 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
4 + 7y + -5y = 5 + 5y + -5y

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

Combine like terms: 5y + -5y = 0
4 + 2y = 5 + 0
4 + 2y = 5

Add '-4' to each side of the equation.
4 + -4 + 2y = 5 + -4

Combine like terms: 4 + -4 = 0
0 + 2y = 5 + -4
2y = 5 + -4

Combine like terms: 5 + -4 = 1
2y = 1

Divide each side by '2'.
y = 0.5

Simplifying
y = 0.5

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