6y+13=-5(y-4)

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


Simplifying
6y + 13 = -5(y + -4)

Reorder the terms:
13 + 6y = -5(y + -4)

Reorder the terms:
13 + 6y = -5(-4 + y)
13 + 6y = (-4 * -5 + y * -5)
13 + 6y = (20 + -5y)

Solving
13 + 6y = 20 + -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.
13 + 6y + 5y = 20 + -5y + 5y

Combine like terms: 6y + 5y = 11y
13 + 11y = 20 + -5y + 5y

Combine like terms: -5y + 5y = 0
13 + 11y = 20 + 0
13 + 11y = 20

Add '-13' to each side of the equation.
13 + -13 + 11y = 20 + -13

Combine like terms: 13 + -13 = 0
0 + 11y = 20 + -13
11y = 20 + -13

Combine like terms: 20 + -13 = 7
11y = 7

Divide each side by '11'.
y = 0.6363636364

Simplifying
y = 0.6363636364

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