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 = 22
5y = 22

Divide each side by '5'.
y = 4.4

Simplifying
y = 4.4

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