-2(3y-5)+4y=8+2(3y-6)

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Solution for -2(3y-5)+4y=8+2(3y-6) equation:


Simplifying
-2(3y + -5) + 4y = 8 + 2(3y + -6)

Reorder the terms:
-2(-5 + 3y) + 4y = 8 + 2(3y + -6)
(-5 * -2 + 3y * -2) + 4y = 8 + 2(3y + -6)
(10 + -6y) + 4y = 8 + 2(3y + -6)

Combine like terms: -6y + 4y = -2y
10 + -2y = 8 + 2(3y + -6)

Reorder the terms:
10 + -2y = 8 + 2(-6 + 3y)
10 + -2y = 8 + (-6 * 2 + 3y * 2)
10 + -2y = 8 + (-12 + 6y)

Combine like terms: 8 + -12 = -4
10 + -2y = -4 + 6y

Solving
10 + -2y = -4 + 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.
10 + -2y + -6y = -4 + 6y + -6y

Combine like terms: -2y + -6y = -8y
10 + -8y = -4 + 6y + -6y

Combine like terms: 6y + -6y = 0
10 + -8y = -4 + 0
10 + -8y = -4

Add '-10' to each side of the equation.
10 + -10 + -8y = -4 + -10

Combine like terms: 10 + -10 = 0
0 + -8y = -4 + -10
-8y = -4 + -10

Combine like terms: -4 + -10 = -14
-8y = -14

Divide each side by '-8'.
y = 1.75

Simplifying
y = 1.75

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