4y+11=6(y+6)

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


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

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

Reorder the terms:
11 + 4y = 6(6 + y)
11 + 4y = (6 * 6 + y * 6)
11 + 4y = (36 + 6y)

Solving
11 + 4y = 36 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
11 + 4y + -6y = 36 + 6y + -6y

Combine like terms: 4y + -6y = -2y
11 + -2y = 36 + 6y + -6y

Combine like terms: 6y + -6y = 0
11 + -2y = 36 + 0
11 + -2y = 36

Add '-11' to each side of the equation.
11 + -11 + -2y = 36 + -11

Combine like terms: 11 + -11 = 0
0 + -2y = 36 + -11
-2y = 36 + -11

Combine like terms: 36 + -11 = 25
-2y = 25

Divide each side by '-2'.
y = -12.5

Simplifying
y = -12.5

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