4(3y-1)-6=5y+2

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Solution for 4(3y-1)-6=5y+2 equation:


Simplifying
4(3y + -1) + -6 = 5y + 2

Reorder the terms:
4(-1 + 3y) + -6 = 5y + 2
(-1 * 4 + 3y * 4) + -6 = 5y + 2
(-4 + 12y) + -6 = 5y + 2

Reorder the terms:
-4 + -6 + 12y = 5y + 2

Combine like terms: -4 + -6 = -10
-10 + 12y = 5y + 2

Reorder the terms:
-10 + 12y = 2 + 5y

Solving
-10 + 12y = 2 + 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 + 12y + -5y = 2 + 5y + -5y

Combine like terms: 12y + -5y = 7y
-10 + 7y = 2 + 5y + -5y

Combine like terms: 5y + -5y = 0
-10 + 7y = 2 + 0
-10 + 7y = 2

Add '10' to each side of the equation.
-10 + 10 + 7y = 2 + 10

Combine like terms: -10 + 10 = 0
0 + 7y = 2 + 10
7y = 2 + 10

Combine like terms: 2 + 10 = 12
7y = 12

Divide each side by '7'.
y = 1.714285714

Simplifying
y = 1.714285714

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