4(2y+9)=3y-14

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Solution for 4(2y+9)=3y-14 equation: 


Simplifying
4(2y + 9) = 3y + -14

Reorder the terms:
4(9 + 2y) = 3y + -14
(9 * 4 + 2y * 4) = 3y + -14
(36 + 8y) = 3y + -14

Reorder the terms:
36 + 8y = -14 + 3y

Solving
36 + 8y = -14 + 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 + 8y + -3y = -14 + 3y + -3y

Combine like terms: 8y + -3y = 5y
36 + 5y = -14 + 3y + -3y

Combine like terms: 3y + -3y = 0
36 + 5y = -14 + 0
36 + 5y = -14

Add '-36' to each side of the equation.
36 + -36 + 5y = -14 + -36

Combine like terms: 36 + -36 = 0
0 + 5y = -14 + -36
5y = -14 + -36

Combine like terms: -14 + -36 = -50
5y = -50

Divide each side by '5'.
y = -10

Simplifying
y = -10

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