2(y+1)=10-2(3y-4)

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Solution for 2(y+1)=10-2(3y-4) equation: 


Simplifying
2(y + 1) = 10 + -2(3y + -4)

Reorder the terms:
2(1 + y) = 10 + -2(3y + -4)
(1 * 2 + y * 2) = 10 + -2(3y + -4)
(2 + 2y) = 10 + -2(3y + -4)

Reorder the terms:
2 + 2y = 10 + -2(-4 + 3y)
2 + 2y = 10 + (-4 * -2 + 3y * -2)
2 + 2y = 10 + (8 + -6y)

Combine like terms: 10 + 8 = 18
2 + 2y = 18 + -6y

Solving
2 + 2y = 18 + -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 = 18 + -6y + 6y

Combine like terms: 2y + 6y = 8y
2 + 8y = 18 + -6y + 6y

Combine like terms: -6y + 6y = 0
2 + 8y = 18 + 0
2 + 8y = 18

Add '-2' to each side of the equation.
2 + -2 + 8y = 18 + -2

Combine like terms: 2 + -2 = 0
0 + 8y = 18 + -2
8y = 18 + -2

Combine like terms: 18 + -2 = 16
8y = 16

Divide each side by '8'.
y = 2

Simplifying
y = 2

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