6(y-9)=-8y+30

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Solution for 6(y-9)=-8y+30 equation:


Simplifying
6(y + -9) = -8y + 30

Reorder the terms:
6(-9 + y) = -8y + 30
(-9 * 6 + y * 6) = -8y + 30
(-54 + 6y) = -8y + 30

Reorder the terms:
-54 + 6y = 30 + -8y

Solving
-54 + 6y = 30 + -8y

Solving for variable 'y'.

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

Add '8y' to each side of the equation.
-54 + 6y + 8y = 30 + -8y + 8y

Combine like terms: 6y + 8y = 14y
-54 + 14y = 30 + -8y + 8y

Combine like terms: -8y + 8y = 0
-54 + 14y = 30 + 0
-54 + 14y = 30

Add '54' to each side of the equation.
-54 + 54 + 14y = 30 + 54

Combine like terms: -54 + 54 = 0
0 + 14y = 30 + 54
14y = 30 + 54

Combine like terms: 30 + 54 = 84
14y = 84

Divide each side by '14'.
y = 6

Simplifying
y = 6

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