6(y-9)+y=4(y-3)-6

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Solution for 6(y-9)+y=4(y-3)-6 equation: 


Simplifying
6(y + -9) + y = 4(y + -3) + -6

Reorder the terms:
6(-9 + y) + y = 4(y + -3) + -6
(-9 * 6 + y * 6) + y = 4(y + -3) + -6
(-54 + 6y) + y = 4(y + -3) + -6

Combine like terms: 6y + y = 7y
-54 + 7y = 4(y + -3) + -6

Reorder the terms:
-54 + 7y = 4(-3 + y) + -6
-54 + 7y = (-3 * 4 + y * 4) + -6
-54 + 7y = (-12 + 4y) + -6

Reorder the terms:
-54 + 7y = -12 + -6 + 4y

Combine like terms: -12 + -6 = -18
-54 + 7y = -18 + 4y

Solving
-54 + 7y = -18 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
-54 + 7y + -4y = -18 + 4y + -4y

Combine like terms: 7y + -4y = 3y
-54 + 3y = -18 + 4y + -4y

Combine like terms: 4y + -4y = 0
-54 + 3y = -18 + 0
-54 + 3y = -18

Add '54' to each side of the equation.
-54 + 54 + 3y = -18 + 54

Combine like terms: -54 + 54 = 0
0 + 3y = -18 + 54
3y = -18 + 54

Combine like terms: -18 + 54 = 36
3y = 36

Divide each side by '3'.
y = 12

Simplifying
y = 12

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