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

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Solution for 2y-10+2(5-4y)=1-(y-6) equation:


Simplifying
2y + -10 + 2(5 + -4y) = 1 + -1(y + -6)
2y + -10 + (5 * 2 + -4y * 2) = 1 + -1(y + -6)
2y + -10 + (10 + -8y) = 1 + -1(y + -6)

Reorder the terms:
-10 + 10 + 2y + -8y = 1 + -1(y + -6)

Combine like terms: -10 + 10 = 0
0 + 2y + -8y = 1 + -1(y + -6)
2y + -8y = 1 + -1(y + -6)

Combine like terms: 2y + -8y = -6y
-6y = 1 + -1(y + -6)

Reorder the terms:
-6y = 1 + -1(-6 + y)
-6y = 1 + (-6 * -1 + y * -1)
-6y = 1 + (6 + -1y)

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

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

Combine like terms: -6y + y = -5y
-5y = 7 + -1y + y

Combine like terms: -1y + y = 0
-5y = 7 + 0
-5y = 7

Divide each side by '-5'.
y = -1.4

Simplifying
y = -1.4

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