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

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


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

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

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

Combine like terms: -10 + 5 = -5
-5 + 2y + -4y = 1 + -1(y + -6)

Combine like terms: 2y + -4y = -2y
-5 + -2y = 1 + -1(y + -6)

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

Combine like terms: 1 + 6 = 7
-5 + -2y = 7 + -1y

Solving
-5 + -2y = 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.
-5 + -2y + y = 7 + -1y + y

Combine like terms: -2y + y = -1y
-5 + -1y = 7 + -1y + y

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

Add '5' to each side of the equation.
-5 + 5 + -1y = 7 + 5

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

Combine like terms: 7 + 5 = 12
-1y = 12

Divide each side by '-1'.
y = -12

Simplifying
y = -12

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