5y+41=-3(y-3)

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Solution for 5y+41=-3(y-3) equation:


Simplifying
5y + 41 = -3(y + -3)

Reorder the terms:
41 + 5y = -3(y + -3)

Reorder the terms:
41 + 5y = -3(-3 + y)
41 + 5y = (-3 * -3 + y * -3)
41 + 5y = (9 + -3y)

Solving
41 + 5y = 9 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
41 + 5y + 3y = 9 + -3y + 3y

Combine like terms: 5y + 3y = 8y
41 + 8y = 9 + -3y + 3y

Combine like terms: -3y + 3y = 0
41 + 8y = 9 + 0
41 + 8y = 9

Add '-41' to each side of the equation.
41 + -41 + 8y = 9 + -41

Combine like terms: 41 + -41 = 0
0 + 8y = 9 + -41
8y = 9 + -41

Combine like terms: 9 + -41 = -32
8y = -32

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

Simplifying
y = -4

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