4(y+9)=3y-5

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Solution for 4(y+9)=3y-5 equation: 


Simplifying
4(y + 9) = 3y + -5

Reorder the terms:
4(9 + y) = 3y + -5
(9 * 4 + y * 4) = 3y + -5
(36 + 4y) = 3y + -5

Reorder the terms:
36 + 4y = -5 + 3y

Solving
36 + 4y = -5 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
36 + 4y + -3y = -5 + 3y + -3y

Combine like terms: 4y + -3y = 1y
36 + 1y = -5 + 3y + -3y

Combine like terms: 3y + -3y = 0
36 + 1y = -5 + 0
36 + 1y = -5

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

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

Combine like terms: -5 + -36 = -41
1y = -41

Divide each side by '1'.
y = -41

Simplifying
y = -41

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