4(y-9)=9y-1

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Solution for 4(y-9)=9y-1 equation:


Simplifying
4(y + -9) = 9y + -1

Reorder the terms:
4(-9 + y) = 9y + -1
(-9 * 4 + y * 4) = 9y + -1
(-36 + 4y) = 9y + -1

Reorder the terms:
-36 + 4y = -1 + 9y

Solving
-36 + 4y = -1 + 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.
-36 + 4y + -9y = -1 + 9y + -9y

Combine like terms: 4y + -9y = -5y
-36 + -5y = -1 + 9y + -9y

Combine like terms: 9y + -9y = 0
-36 + -5y = -1 + 0
-36 + -5y = -1

Add '36' to each side of the equation.
-36 + 36 + -5y = -1 + 36

Combine like terms: -36 + 36 = 0
0 + -5y = -1 + 36
-5y = -1 + 36

Combine like terms: -1 + 36 = 35
-5y = 35

Divide each side by '-5'.
y = -7

Simplifying
y = -7

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