(2y-2)+(y-3)=21

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Solution for (2y-2)+(y-3)=21 equation:


Simplifying
(2y + -2) + (y + -3) = 21

Reorder the terms:
(-2 + 2y) + (y + -3) = 21

Remove parenthesis around (-2 + 2y)
-2 + 2y + (y + -3) = 21

Reorder the terms:
-2 + 2y + (-3 + y) = 21

Remove parenthesis around (-3 + y)
-2 + 2y + -3 + y = 21

Reorder the terms:
-2 + -3 + 2y + y = 21

Combine like terms: -2 + -3 = -5
-5 + 2y + y = 21

Combine like terms: 2y + y = 3y
-5 + 3y = 21

Solving
-5 + 3y = 21

Solving for variable 'y'.

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

Add '5' to each side of the equation.
-5 + 5 + 3y = 21 + 5

Combine like terms: -5 + 5 = 0
0 + 3y = 21 + 5
3y = 21 + 5

Combine like terms: 21 + 5 = 26
3y = 26

Divide each side by '3'.
y = 8.666666667

Simplifying
y = 8.666666667

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