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

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


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

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

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

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

Reorder the terms:
-2 + 2y = 6 + -2y

Solving
-2 + 2y = 6 + -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.
-2 + 2y + 2y = 6 + -2y + 2y

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

Combine like terms: -2y + 2y = 0
-2 + 4y = 6 + 0
-2 + 4y = 6

Add '2' to each side of the equation.
-2 + 2 + 4y = 6 + 2

Combine like terms: -2 + 2 = 0
0 + 4y = 6 + 2
4y = 6 + 2

Combine like terms: 6 + 2 = 8
4y = 8

Divide each side by '4'.
y = 2

Simplifying
y = 2

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