4y+37=-5(y-2)

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Solution for 4y+37=-5(y-2) equation:


Simplifying
4y + 37 = -5(y + -2)

Reorder the terms:
37 + 4y = -5(y + -2)

Reorder the terms:
37 + 4y = -5(-2 + y)
37 + 4y = (-2 * -5 + y * -5)
37 + 4y = (10 + -5y)

Solving
37 + 4y = 10 + -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.
37 + 4y + 5y = 10 + -5y + 5y

Combine like terms: 4y + 5y = 9y
37 + 9y = 10 + -5y + 5y

Combine like terms: -5y + 5y = 0
37 + 9y = 10 + 0
37 + 9y = 10

Add '-37' to each side of the equation.
37 + -37 + 9y = 10 + -37

Combine like terms: 37 + -37 = 0
0 + 9y = 10 + -37
9y = 10 + -37

Combine like terms: 10 + -37 = -27
9y = -27

Divide each side by '9'.
y = -3

Simplifying
y = -3

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