3(5+2)-y=2(y-3)

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Solution for 3(5+2)-y=2(y-3) equation:


Simplifying
3(5 + 2) + -1y = 2(y + -3)

Combine like terms: 5 + 2 = 7
3(7) + -1y = 2(y + -3)

Multiply 3 * 7
21 + -1y = 2(y + -3)

Reorder the terms:
21 + -1y = 2(-3 + y)
21 + -1y = (-3 * 2 + y * 2)
21 + -1y = (-6 + 2y)

Solving
21 + -1y = -6 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
21 + -1y + -2y = -6 + 2y + -2y

Combine like terms: -1y + -2y = -3y
21 + -3y = -6 + 2y + -2y

Combine like terms: 2y + -2y = 0
21 + -3y = -6 + 0
21 + -3y = -6

Add '-21' to each side of the equation.
21 + -21 + -3y = -6 + -21

Combine like terms: 21 + -21 = 0
0 + -3y = -6 + -21
-3y = -6 + -21

Combine like terms: -6 + -21 = -27
-3y = -27

Divide each side by '-3'.
y = 9

Simplifying
y = 9

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