-46+18y+9=5(4y-5)-2

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Solution for -46+18y+9=5(4y-5)-2 equation:


Simplifying
-46 + 18y + 9 = 5(4y + -5) + -2

Reorder the terms:
-46 + 9 + 18y = 5(4y + -5) + -2

Combine like terms: -46 + 9 = -37
-37 + 18y = 5(4y + -5) + -2

Reorder the terms:
-37 + 18y = 5(-5 + 4y) + -2
-37 + 18y = (-5 * 5 + 4y * 5) + -2
-37 + 18y = (-25 + 20y) + -2

Reorder the terms:
-37 + 18y = -25 + -2 + 20y

Combine like terms: -25 + -2 = -27
-37 + 18y = -27 + 20y

Solving
-37 + 18y = -27 + 20y

Solving for variable 'y'.

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

Add '-20y' to each side of the equation.
-37 + 18y + -20y = -27 + 20y + -20y

Combine like terms: 18y + -20y = -2y
-37 + -2y = -27 + 20y + -20y

Combine like terms: 20y + -20y = 0
-37 + -2y = -27 + 0
-37 + -2y = -27

Add '37' to each side of the equation.
-37 + 37 + -2y = -27 + 37

Combine like terms: -37 + 37 = 0
0 + -2y = -27 + 37
-2y = -27 + 37

Combine like terms: -27 + 37 = 10
-2y = 10

Divide each side by '-2'.
y = -5

Simplifying
y = -5

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