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

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


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

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

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

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

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

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

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

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

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

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

Combine like terms: 10 + 10 = 20
7y = 20

Divide each side by '7'.
y = 2.857142857

Simplifying
y = 2.857142857

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