11-6y=10-4(y+3)

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Solution for 11-6y=10-4(y+3) equation:


Simplifying
11 + -6y = 10 + -4(y + 3)

Reorder the terms:
11 + -6y = 10 + -4(3 + y)
11 + -6y = 10 + (3 * -4 + y * -4)
11 + -6y = 10 + (-12 + -4y)

Combine like terms: 10 + -12 = -2
11 + -6y = -2 + -4y

Solving
11 + -6y = -2 + -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.
11 + -6y + 4y = -2 + -4y + 4y

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

Combine like terms: -4y + 4y = 0
11 + -2y = -2 + 0
11 + -2y = -2

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

Combine like terms: 11 + -11 = 0
0 + -2y = -2 + -11
-2y = -2 + -11

Combine like terms: -2 + -11 = -13
-2y = -13

Divide each side by '-2'.
y = 6.5

Simplifying
y = 6.5

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