11-(y-4)+4y-6=y+1

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Solution for 11-(y-4)+4y-6=y+1 equation: 


Simplifying
11 + -1(y + -4) + 4y + -6 = y + 1

Reorder the terms:
11 + -1(-4 + y) + 4y + -6 = y + 1
11 + (-4 * -1 + y * -1) + 4y + -6 = y + 1
11 + (4 + -1y) + 4y + -6 = y + 1

Reorder the terms:
11 + 4 + -6 + -1y + 4y = y + 1

Combine like terms: 11 + 4 = 15
15 + -6 + -1y + 4y = y + 1

Combine like terms: 15 + -6 = 9
9 + -1y + 4y = y + 1

Combine like terms: -1y + 4y = 3y
9 + 3y = y + 1

Reorder the terms:
9 + 3y = 1 + y

Solving
9 + 3y = 1 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
9 + 3y + -1y = 1 + y + -1y

Combine like terms: 3y + -1y = 2y
9 + 2y = 1 + y + -1y

Combine like terms: y + -1y = 0
9 + 2y = 1 + 0
9 + 2y = 1

Add '-9' to each side of the equation.
9 + -9 + 2y = 1 + -9

Combine like terms: 9 + -9 = 0
0 + 2y = 1 + -9
2y = 1 + -9

Combine like terms: 1 + -9 = -8
2y = -8

Divide each side by '2'.
y = -4

Simplifying
y = -4

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