(2y-2)+2(y-3)=25

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Solution for (2y-2)+2(y-3)=25 equation:


Simplifying
(2y + -2) + 2(y + -3) = 25

Reorder the terms:
(-2 + 2y) + 2(y + -3) = 25

Remove parenthesis around (-2 + 2y)
-2 + 2y + 2(y + -3) = 25

Reorder the terms:
-2 + 2y + 2(-3 + y) = 25
-2 + 2y + (-3 * 2 + y * 2) = 25
-2 + 2y + (-6 + 2y) = 25

Reorder the terms:
-2 + -6 + 2y + 2y = 25

Combine like terms: -2 + -6 = -8
-8 + 2y + 2y = 25

Combine like terms: 2y + 2y = 4y
-8 + 4y = 25

Solving
-8 + 4y = 25

Solving for variable 'y'.

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

Add '8' to each side of the equation.
-8 + 8 + 4y = 25 + 8

Combine like terms: -8 + 8 = 0
0 + 4y = 25 + 8
4y = 25 + 8

Combine like terms: 25 + 8 = 33
4y = 33

Divide each side by '4'.
y = 8.25

Simplifying
y = 8.25

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