-9(y-6)=4y+41

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Solution for -9(y-6)=4y+41 equation:


Simplifying
-9(y + -6) = 4y + 41

Reorder the terms:
-9(-6 + y) = 4y + 41
(-6 * -9 + y * -9) = 4y + 41
(54 + -9y) = 4y + 41

Reorder the terms:
54 + -9y = 41 + 4y

Solving
54 + -9y = 41 + 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 + -9y + -4y = 41 + 4y + -4y

Combine like terms: -9y + -4y = -13y
54 + -13y = 41 + 4y + -4y

Combine like terms: 4y + -4y = 0
54 + -13y = 41 + 0
54 + -13y = 41

Add '-54' to each side of the equation.
54 + -54 + -13y = 41 + -54

Combine like terms: 54 + -54 = 0
0 + -13y = 41 + -54
-13y = 41 + -54

Combine like terms: 41 + -54 = -13
-13y = -13

Divide each side by '-13'.
y = 1

Simplifying
y = 1

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