(y+2)+2(y-3)=15

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Solution for (y+2)+2(y-3)=15 equation: 


Simplifying
(y + 2) + 2(y + -3) = 15

Reorder the terms:
(2 + y) + 2(y + -3) = 15

Remove parenthesis around (2 + y)
2 + y + 2(y + -3) = 15

Reorder the terms:
2 + y + 2(-3 + y) = 15
2 + y + (-3 * 2 + y * 2) = 15
2 + y + (-6 + 2y) = 15

Reorder the terms:
2 + -6 + y + 2y = 15

Combine like terms: 2 + -6 = -4
-4 + y + 2y = 15

Combine like terms: y + 2y = 3y
-4 + 3y = 15

Solving
-4 + 3y = 15

Solving for variable 'y'.

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

Add '4' to each side of the equation.
-4 + 4 + 3y = 15 + 4

Combine like terms: -4 + 4 = 0
0 + 3y = 15 + 4
3y = 15 + 4

Combine like terms: 15 + 4 = 19
3y = 19

Divide each side by '3'.
y = 6.333333333

Simplifying
y = 6.333333333

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