11-2(5+y)=4(3+y)-1

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Solution for 11-2(5+y)=4(3+y)-1 equation:


Simplifying
11 + -2(5 + y) = 4(3 + y) + -1
11 + (5 * -2 + y * -2) = 4(3 + y) + -1
11 + (-10 + -2y) = 4(3 + y) + -1

Combine like terms: 11 + -10 = 1
1 + -2y = 4(3 + y) + -1
1 + -2y = (3 * 4 + y * 4) + -1
1 + -2y = (12 + 4y) + -1

Reorder the terms:
1 + -2y = 12 + -1 + 4y

Combine like terms: 12 + -1 = 11
1 + -2y = 11 + 4y

Solving
1 + -2y = 11 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
1 + -2y + -4y = 11 + 4y + -4y

Combine like terms: -2y + -4y = -6y
1 + -6y = 11 + 4y + -4y

Combine like terms: 4y + -4y = 0
1 + -6y = 11 + 0
1 + -6y = 11

Add '-1' to each side of the equation.
1 + -1 + -6y = 11 + -1

Combine like terms: 1 + -1 = 0
0 + -6y = 11 + -1
-6y = 11 + -1

Combine like terms: 11 + -1 = 10
-6y = 10

Divide each side by '-6'.
y = -1.666666667

Simplifying
y = -1.666666667

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