4(y-6)+9(y+1)=11

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Solution for 4(y-6)+9(y+1)=11 equation:


Simplifying
4(y + -6) + 9(y + 1) = 11

Reorder the terms:
4(-6 + y) + 9(y + 1) = 11
(-6 * 4 + y * 4) + 9(y + 1) = 11
(-24 + 4y) + 9(y + 1) = 11

Reorder the terms:
-24 + 4y + 9(1 + y) = 11
-24 + 4y + (1 * 9 + y * 9) = 11
-24 + 4y + (9 + 9y) = 11

Reorder the terms:
-24 + 9 + 4y + 9y = 11

Combine like terms: -24 + 9 = -15
-15 + 4y + 9y = 11

Combine like terms: 4y + 9y = 13y
-15 + 13y = 11

Solving
-15 + 13y = 11

Solving for variable 'y'.

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

Add '15' to each side of the equation.
-15 + 15 + 13y = 11 + 15

Combine like terms: -15 + 15 = 0
0 + 13y = 11 + 15
13y = 11 + 15

Combine like terms: 11 + 15 = 26
13y = 26

Divide each side by '13'.
y = 2

Simplifying
y = 2

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