11(4-6y)+5(3y+1)=9

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Solution for 11(4-6y)+5(3y+1)=9 equation:


Simplifying
11(4 + -6y) + 5(3y + 1) = 9
(4 * 11 + -6y * 11) + 5(3y + 1) = 9
(44 + -66y) + 5(3y + 1) = 9

Reorder the terms:
44 + -66y + 5(1 + 3y) = 9
44 + -66y + (1 * 5 + 3y * 5) = 9
44 + -66y + (5 + 15y) = 9

Reorder the terms:
44 + 5 + -66y + 15y = 9

Combine like terms: 44 + 5 = 49
49 + -66y + 15y = 9

Combine like terms: -66y + 15y = -51y
49 + -51y = 9

Solving
49 + -51y = 9

Solving for variable 'y'.

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

Add '-49' to each side of the equation.
49 + -49 + -51y = 9 + -49

Combine like terms: 49 + -49 = 0
0 + -51y = 9 + -49
-51y = 9 + -49

Combine like terms: 9 + -49 = -40
-51y = -40

Divide each side by '-51'.
y = 0.7843137255

Simplifying
y = 0.7843137255

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