7y-(2y-2)=17

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Solution for 7y-(2y-2)=17 equation:


Simplifying
7y + -1(2y + -2) = 17

Reorder the terms:
7y + -1(-2 + 2y) = 17
7y + (-2 * -1 + 2y * -1) = 17
7y + (2 + -2y) = 17

Reorder the terms:
2 + 7y + -2y = 17

Combine like terms: 7y + -2y = 5y
2 + 5y = 17

Solving
2 + 5y = 17

Solving for variable 'y'.

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

Add '-2' to each side of the equation.
2 + -2 + 5y = 17 + -2

Combine like terms: 2 + -2 = 0
0 + 5y = 17 + -2
5y = 17 + -2

Combine like terms: 17 + -2 = 15
5y = 15

Divide each side by '5'.
y = 3

Simplifying
y = 3

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