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

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


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

Reorder the terms:
3(-2 + y) + 2 = 4y + -7 + -2y
(-2 * 3 + y * 3) + 2 = 4y + -7 + -2y
(-6 + 3y) + 2 = 4y + -7 + -2y

Reorder the terms:
-6 + 2 + 3y = 4y + -7 + -2y

Combine like terms: -6 + 2 = -4
-4 + 3y = 4y + -7 + -2y

Reorder the terms:
-4 + 3y = -7 + 4y + -2y

Combine like terms: 4y + -2y = 2y
-4 + 3y = -7 + 2y

Solving
-4 + 3y = -7 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-4 + 3y + -2y = -7 + 2y + -2y

Combine like terms: 3y + -2y = 1y
-4 + 1y = -7 + 2y + -2y

Combine like terms: 2y + -2y = 0
-4 + 1y = -7 + 0
-4 + 1y = -7

Add '4' to each side of the equation.
-4 + 4 + 1y = -7 + 4

Combine like terms: -4 + 4 = 0
0 + 1y = -7 + 4
1y = -7 + 4

Combine like terms: -7 + 4 = -3
1y = -3

Divide each side by '1'.
y = -3

Simplifying
y = -3

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