11(4-6y)+5(13y+1)=30

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Solution for 11(4-6y)+5(13y+1)=30 equation: 


Simplifying
11(4 + -6y) + 5(13y + 1) = 30
(4 * 11 + -6y * 11) + 5(13y + 1) = 30
(44 + -66y) + 5(13y + 1) = 30

Reorder the terms:
44 + -66y + 5(1 + 13y) = 30
44 + -66y + (1 * 5 + 13y * 5) = 30
44 + -66y + (5 + 65y) = 30

Reorder the terms:
44 + 5 + -66y + 65y = 30

Combine like terms: 44 + 5 = 49
49 + -66y + 65y = 30

Combine like terms: -66y + 65y = -1y
49 + -1y = 30

Solving
49 + -1y = 30

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 + -1y = 30 + -49

Combine like terms: 49 + -49 = 0
0 + -1y = 30 + -49
-1y = 30 + -49

Combine like terms: 30 + -49 = -19
-1y = -19

Divide each side by '-1'.
y = 19

Simplifying
y = 19

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