2(y-3)+4=6(7-y)

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Solution for 2(y-3)+4=6(7-y) equation:


Simplifying
2(y + -3) + 4 = 6(7 + -1y)

Reorder the terms:
2(-3 + y) + 4 = 6(7 + -1y)
(-3 * 2 + y * 2) + 4 = 6(7 + -1y)
(-6 + 2y) + 4 = 6(7 + -1y)

Reorder the terms:
-6 + 4 + 2y = 6(7 + -1y)

Combine like terms: -6 + 4 = -2
-2 + 2y = 6(7 + -1y)
-2 + 2y = (7 * 6 + -1y * 6)
-2 + 2y = (42 + -6y)

Solving
-2 + 2y = 42 + -6y

Solving for variable 'y'.

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

Add '6y' to each side of the equation.
-2 + 2y + 6y = 42 + -6y + 6y

Combine like terms: 2y + 6y = 8y
-2 + 8y = 42 + -6y + 6y

Combine like terms: -6y + 6y = 0
-2 + 8y = 42 + 0
-2 + 8y = 42

Add '2' to each side of the equation.
-2 + 2 + 8y = 42 + 2

Combine like terms: -2 + 2 = 0
0 + 8y = 42 + 2
8y = 42 + 2

Combine like terms: 42 + 2 = 44
8y = 44

Divide each side by '8'.
y = 5.5

Simplifying
y = 5.5

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