4(3y-5)-7+2(3y+1)=3y

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Solution for 4(3y-5)-7+2(3y+1)=3y equation:


Simplifying
4(3y + -5) + -7 + 2(3y + 1) = 3y

Reorder the terms:
4(-5 + 3y) + -7 + 2(3y + 1) = 3y
(-5 * 4 + 3y * 4) + -7 + 2(3y + 1) = 3y
(-20 + 12y) + -7 + 2(3y + 1) = 3y

Reorder the terms:
-20 + 12y + -7 + 2(1 + 3y) = 3y
-20 + 12y + -7 + (1 * 2 + 3y * 2) = 3y
-20 + 12y + -7 + (2 + 6y) = 3y

Reorder the terms:
-20 + -7 + 2 + 12y + 6y = 3y

Combine like terms: -20 + -7 = -27
-27 + 2 + 12y + 6y = 3y

Combine like terms: -27 + 2 = -25
-25 + 12y + 6y = 3y

Combine like terms: 12y + 6y = 18y
-25 + 18y = 3y

Solving
-25 + 18y = 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-25 + 18y + -3y = 3y + -3y

Combine like terms: 18y + -3y = 15y
-25 + 15y = 3y + -3y

Combine like terms: 3y + -3y = 0
-25 + 15y = 0

Add '25' to each side of the equation.
-25 + 25 + 15y = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 15y = 0 + 25
15y = 0 + 25

Combine like terms: 0 + 25 = 25
15y = 25

Divide each side by '15'.
y = 1.666666667

Simplifying
y = 1.666666667

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