6(y+8)=9y+18

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Solution for 6(y+8)=9y+18 equation:


Simplifying
6(y + 8) = 9y + 18

Reorder the terms:
6(8 + y) = 9y + 18
(8 * 6 + y * 6) = 9y + 18
(48 + 6y) = 9y + 18

Reorder the terms:
48 + 6y = 18 + 9y

Solving
48 + 6y = 18 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
48 + 6y + -9y = 18 + 9y + -9y

Combine like terms: 6y + -9y = -3y
48 + -3y = 18 + 9y + -9y

Combine like terms: 9y + -9y = 0
48 + -3y = 18 + 0
48 + -3y = 18

Add '-48' to each side of the equation.
48 + -48 + -3y = 18 + -48

Combine like terms: 48 + -48 = 0
0 + -3y = 18 + -48
-3y = 18 + -48

Combine like terms: 18 + -48 = -30
-3y = -30

Divide each side by '-3'.
y = 10

Simplifying
y = 10

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