3(y-4)+2=5y-28

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Solution for 3(y-4)+2=5y-28 equation: 


Simplifying
3(y + -4) + 2 = 5y + -28

Reorder the terms:
3(-4 + y) + 2 = 5y + -28
(-4 * 3 + y * 3) + 2 = 5y + -28
(-12 + 3y) + 2 = 5y + -28

Reorder the terms:
-12 + 2 + 3y = 5y + -28

Combine like terms: -12 + 2 = -10
-10 + 3y = 5y + -28

Reorder the terms:
-10 + 3y = -28 + 5y

Solving
-10 + 3y = -28 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-10 + 3y + -5y = -28 + 5y + -5y

Combine like terms: 3y + -5y = -2y
-10 + -2y = -28 + 5y + -5y

Combine like terms: 5y + -5y = 0
-10 + -2y = -28 + 0
-10 + -2y = -28

Add '10' to each side of the equation.
-10 + 10 + -2y = -28 + 10

Combine like terms: -10 + 10 = 0
0 + -2y = -28 + 10
-2y = -28 + 10

Combine like terms: -28 + 10 = -18
-2y = -18

Divide each side by '-2'.
y = 9

Simplifying
y = 9

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