(4y+5)+(3y+9)=11y-18

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Solution for (4y+5)+(3y+9)=11y-18 equation:


Simplifying
(4y + 5) + (3y + 9) = 11y + -18

Reorder the terms:
(5 + 4y) + (3y + 9) = 11y + -18

Remove parenthesis around (5 + 4y)
5 + 4y + (3y + 9) = 11y + -18

Reorder the terms:
5 + 4y + (9 + 3y) = 11y + -18

Remove parenthesis around (9 + 3y)
5 + 4y + 9 + 3y = 11y + -18

Reorder the terms:
5 + 9 + 4y + 3y = 11y + -18

Combine like terms: 5 + 9 = 14
14 + 4y + 3y = 11y + -18

Combine like terms: 4y + 3y = 7y
14 + 7y = 11y + -18

Reorder the terms:
14 + 7y = -18 + 11y

Solving
14 + 7y = -18 + 11y

Solving for variable 'y'.

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

Add '-11y' to each side of the equation.
14 + 7y + -11y = -18 + 11y + -11y

Combine like terms: 7y + -11y = -4y
14 + -4y = -18 + 11y + -11y

Combine like terms: 11y + -11y = 0
14 + -4y = -18 + 0
14 + -4y = -18

Add '-14' to each side of the equation.
14 + -14 + -4y = -18 + -14

Combine like terms: 14 + -14 = 0
0 + -4y = -18 + -14
-4y = -18 + -14

Combine like terms: -18 + -14 = -32
-4y = -32

Divide each side by '-4'.
y = 8

Simplifying
y = 8

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