2(y-6)+5=10-(y+4)

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Solution for 2(y-6)+5=10-(y+4) equation:


Simplifying
2(y + -6) + 5 = 10 + -1(y + 4)

Reorder the terms:
2(-6 + y) + 5 = 10 + -1(y + 4)
(-6 * 2 + y * 2) + 5 = 10 + -1(y + 4)
(-12 + 2y) + 5 = 10 + -1(y + 4)

Reorder the terms:
-12 + 5 + 2y = 10 + -1(y + 4)

Combine like terms: -12 + 5 = -7
-7 + 2y = 10 + -1(y + 4)

Reorder the terms:
-7 + 2y = 10 + -1(4 + y)
-7 + 2y = 10 + (4 * -1 + y * -1)
-7 + 2y = 10 + (-4 + -1y)

Combine like terms: 10 + -4 = 6
-7 + 2y = 6 + -1y

Solving
-7 + 2y = 6 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
-7 + 2y + y = 6 + -1y + y

Combine like terms: 2y + y = 3y
-7 + 3y = 6 + -1y + y

Combine like terms: -1y + y = 0
-7 + 3y = 6 + 0
-7 + 3y = 6

Add '7' to each side of the equation.
-7 + 7 + 3y = 6 + 7

Combine like terms: -7 + 7 = 0
0 + 3y = 6 + 7
3y = 6 + 7

Combine like terms: 6 + 7 = 13
3y = 13

Divide each side by '3'.
y = 4.333333333

Simplifying
y = 4.333333333

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