5(y+3)=3y+21

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Solution for 5(y+3)=3y+21 equation:


Simplifying
5(y + 3) = 3y + 21

Reorder the terms:
5(3 + y) = 3y + 21
(3 * 5 + y * 5) = 3y + 21
(15 + 5y) = 3y + 21

Reorder the terms:
15 + 5y = 21 + 3y

Solving
15 + 5y = 21 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
15 + 5y + -3y = 21 + 3y + -3y

Combine like terms: 5y + -3y = 2y
15 + 2y = 21 + 3y + -3y

Combine like terms: 3y + -3y = 0
15 + 2y = 21 + 0
15 + 2y = 21

Add '-15' to each side of the equation.
15 + -15 + 2y = 21 + -15

Combine like terms: 15 + -15 = 0
0 + 2y = 21 + -15
2y = 21 + -15

Combine like terms: 21 + -15 = 6
2y = 6

Divide each side by '2'.
y = 3

Simplifying
y = 3

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