6(y+3)=-5y+40

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Solution for 6(y+3)=-5y+40 equation: 


Simplifying
6(y + 3) = -5y + 40

Reorder the terms:
6(3 + y) = -5y + 40
(3 * 6 + y * 6) = -5y + 40
(18 + 6y) = -5y + 40

Reorder the terms:
18 + 6y = 40 + -5y

Solving
18 + 6y = 40 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
18 + 6y + 5y = 40 + -5y + 5y

Combine like terms: 6y + 5y = 11y
18 + 11y = 40 + -5y + 5y

Combine like terms: -5y + 5y = 0
18 + 11y = 40 + 0
18 + 11y = 40

Add '-18' to each side of the equation.
18 + -18 + 11y = 40 + -18

Combine like terms: 18 + -18 = 0
0 + 11y = 40 + -18
11y = 40 + -18

Combine like terms: 40 + -18 = 22
11y = 22

Divide each side by '11'.
y = 2

Simplifying
y = 2

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