5(3y-4)-14=6(2y+4)-8

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Solution for 5(3y-4)-14=6(2y+4)-8 equation:


Simplifying
5(3y + -4) + -14 = 6(2y + 4) + -8

Reorder the terms:
5(-4 + 3y) + -14 = 6(2y + 4) + -8
(-4 * 5 + 3y * 5) + -14 = 6(2y + 4) + -8
(-20 + 15y) + -14 = 6(2y + 4) + -8

Reorder the terms:
-20 + -14 + 15y = 6(2y + 4) + -8

Combine like terms: -20 + -14 = -34
-34 + 15y = 6(2y + 4) + -8

Reorder the terms:
-34 + 15y = 6(4 + 2y) + -8
-34 + 15y = (4 * 6 + 2y * 6) + -8
-34 + 15y = (24 + 12y) + -8

Reorder the terms:
-34 + 15y = 24 + -8 + 12y

Combine like terms: 24 + -8 = 16
-34 + 15y = 16 + 12y

Solving
-34 + 15y = 16 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
-34 + 15y + -12y = 16 + 12y + -12y

Combine like terms: 15y + -12y = 3y
-34 + 3y = 16 + 12y + -12y

Combine like terms: 12y + -12y = 0
-34 + 3y = 16 + 0
-34 + 3y = 16

Add '34' to each side of the equation.
-34 + 34 + 3y = 16 + 34

Combine like terms: -34 + 34 = 0
0 + 3y = 16 + 34
3y = 16 + 34

Combine like terms: 16 + 34 = 50
3y = 50

Divide each side by '3'.
y = 16.66666667

Simplifying
y = 16.66666667

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