4(2y-9)=5y+2

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Solution for 4(2y-9)=5y+2 equation: 


Simplifying
4(2y + -9) = 5y + 2

Reorder the terms:
4(-9 + 2y) = 5y + 2
(-9 * 4 + 2y * 4) = 5y + 2
(-36 + 8y) = 5y + 2

Reorder the terms:
-36 + 8y = 2 + 5y

Solving
-36 + 8y = 2 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-36 + 8y + -5y = 2 + 5y + -5y

Combine like terms: 8y + -5y = 3y
-36 + 3y = 2 + 5y + -5y

Combine like terms: 5y + -5y = 0
-36 + 3y = 2 + 0
-36 + 3y = 2

Add '36' to each side of the equation.
-36 + 36 + 3y = 2 + 36

Combine like terms: -36 + 36 = 0
0 + 3y = 2 + 36
3y = 2 + 36

Combine like terms: 2 + 36 = 38
3y = 38

Divide each side by '3'.
y = 12.66666667

Simplifying
y = 12.66666667

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