9y+3(y+6)=15y+21

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Solution for 9y+3(y+6)=15y+21 equation:


Simplifying
9y + 3(y + 6) = 15y + 21

Reorder the terms:
9y + 3(6 + y) = 15y + 21
9y + (6 * 3 + y * 3) = 15y + 21
9y + (18 + 3y) = 15y + 21

Reorder the terms:
18 + 9y + 3y = 15y + 21

Combine like terms: 9y + 3y = 12y
18 + 12y = 15y + 21

Reorder the terms:
18 + 12y = 21 + 15y

Solving
18 + 12y = 21 + 15y

Solving for variable 'y'.

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

Add '-15y' to each side of the equation.
18 + 12y + -15y = 21 + 15y + -15y

Combine like terms: 12y + -15y = -3y
18 + -3y = 21 + 15y + -15y

Combine like terms: 15y + -15y = 0
18 + -3y = 21 + 0
18 + -3y = 21

Add '-18' to each side of the equation.
18 + -18 + -3y = 21 + -18

Combine like terms: 18 + -18 = 0
0 + -3y = 21 + -18
-3y = 21 + -18

Combine like terms: 21 + -18 = 3
-3y = 3

Divide each side by '-3'.
y = -1

Simplifying
y = -1

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