4(y+9)=5y-2

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


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

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

Reorder the terms:
36 + 4y = -2 + 5y

Solving
36 + 4y = -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 + 4y + -5y = -2 + 5y + -5y

Combine like terms: 4y + -5y = -1y
36 + -1y = -2 + 5y + -5y

Combine like terms: 5y + -5y = 0
36 + -1y = -2 + 0
36 + -1y = -2

Add '-36' to each side of the equation.
36 + -36 + -1y = -2 + -36

Combine like terms: 36 + -36 = 0
0 + -1y = -2 + -36
-1y = -2 + -36

Combine like terms: -2 + -36 = -38
-1y = -38

Divide each side by '-1'.
y = 38

Simplifying
y = 38

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