6(y-3)+5(y+2)=91

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Solution for 6(y-3)+5(y+2)=91 equation:


Simplifying
6(y + -3) + 5(y + 2) = 91

Reorder the terms:
6(-3 + y) + 5(y + 2) = 91
(-3 * 6 + y * 6) + 5(y + 2) = 91
(-18 + 6y) + 5(y + 2) = 91

Reorder the terms:
-18 + 6y + 5(2 + y) = 91
-18 + 6y + (2 * 5 + y * 5) = 91
-18 + 6y + (10 + 5y) = 91

Reorder the terms:
-18 + 10 + 6y + 5y = 91

Combine like terms: -18 + 10 = -8
-8 + 6y + 5y = 91

Combine like terms: 6y + 5y = 11y
-8 + 11y = 91

Solving
-8 + 11y = 91

Solving for variable 'y'.

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

Add '8' to each side of the equation.
-8 + 8 + 11y = 91 + 8

Combine like terms: -8 + 8 = 0
0 + 11y = 91 + 8
11y = 91 + 8

Combine like terms: 91 + 8 = 99
11y = 99

Divide each side by '11'.
y = 9

Simplifying
y = 9

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