-41=-7(-2y+3)-5y-15

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Solution for -41=-7(-2y+3)-5y-15 equation:


Simplifying
-41 = -7(-2y + 3) + -5y + -15

Reorder the terms:
-41 = -7(3 + -2y) + -5y + -15
-41 = (3 * -7 + -2y * -7) + -5y + -15
-41 = (-21 + 14y) + -5y + -15

Reorder the terms:
-41 = -21 + -15 + 14y + -5y

Combine like terms: -21 + -15 = -36
-41 = -36 + 14y + -5y

Combine like terms: 14y + -5y = 9y
-41 = -36 + 9y

Solving
-41 = -36 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
-41 + -9y = -36 + 9y + -9y

Combine like terms: 9y + -9y = 0
-41 + -9y = -36 + 0
-41 + -9y = -36

Add '41' to each side of the equation.
-41 + 41 + -9y = -36 + 41

Combine like terms: -41 + 41 = 0
0 + -9y = -36 + 41
-9y = -36 + 41

Combine like terms: -36 + 41 = 5
-9y = 5

Divide each side by '-9'.
y = -0.5555555556

Simplifying
y = -0.5555555556

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