3(4y-2)-16=4(5y-3)+14

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Solution for 3(4y-2)-16=4(5y-3)+14 equation:


Simplifying
3(4y + -2) + -16 = 4(5y + -3) + 14

Reorder the terms:
3(-2 + 4y) + -16 = 4(5y + -3) + 14
(-2 * 3 + 4y * 3) + -16 = 4(5y + -3) + 14
(-6 + 12y) + -16 = 4(5y + -3) + 14

Reorder the terms:
-6 + -16 + 12y = 4(5y + -3) + 14

Combine like terms: -6 + -16 = -22
-22 + 12y = 4(5y + -3) + 14

Reorder the terms:
-22 + 12y = 4(-3 + 5y) + 14
-22 + 12y = (-3 * 4 + 5y * 4) + 14
-22 + 12y = (-12 + 20y) + 14

Reorder the terms:
-22 + 12y = -12 + 14 + 20y

Combine like terms: -12 + 14 = 2
-22 + 12y = 2 + 20y

Solving
-22 + 12y = 2 + 20y

Solving for variable 'y'.

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

Add '-20y' to each side of the equation.
-22 + 12y + -20y = 2 + 20y + -20y

Combine like terms: 12y + -20y = -8y
-22 + -8y = 2 + 20y + -20y

Combine like terms: 20y + -20y = 0
-22 + -8y = 2 + 0
-22 + -8y = 2

Add '22' to each side of the equation.
-22 + 22 + -8y = 2 + 22

Combine like terms: -22 + 22 = 0
0 + -8y = 2 + 22
-8y = 2 + 22

Combine like terms: 2 + 22 = 24
-8y = 24

Divide each side by '-8'.
y = -3

Simplifying
y = -3

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