2(y-3)-5=-4(-5y+5)-3y

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Solution for 2(y-3)-5=-4(-5y+5)-3y equation:


Simplifying
2(y + -3) + -5 = -4(-5y + 5) + -3y

Reorder the terms:
2(-3 + y) + -5 = -4(-5y + 5) + -3y
(-3 * 2 + y * 2) + -5 = -4(-5y + 5) + -3y
(-6 + 2y) + -5 = -4(-5y + 5) + -3y

Reorder the terms:
-6 + -5 + 2y = -4(-5y + 5) + -3y

Combine like terms: -6 + -5 = -11
-11 + 2y = -4(-5y + 5) + -3y

Reorder the terms:
-11 + 2y = -4(5 + -5y) + -3y
-11 + 2y = (5 * -4 + -5y * -4) + -3y
-11 + 2y = (-20 + 20y) + -3y

Combine like terms: 20y + -3y = 17y
-11 + 2y = -20 + 17y

Solving
-11 + 2y = -20 + 17y

Solving for variable 'y'.

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

Add '-17y' to each side of the equation.
-11 + 2y + -17y = -20 + 17y + -17y

Combine like terms: 2y + -17y = -15y
-11 + -15y = -20 + 17y + -17y

Combine like terms: 17y + -17y = 0
-11 + -15y = -20 + 0
-11 + -15y = -20

Add '11' to each side of the equation.
-11 + 11 + -15y = -20 + 11

Combine like terms: -11 + 11 = 0
0 + -15y = -20 + 11
-15y = -20 + 11

Combine like terms: -20 + 11 = -9
-15y = -9

Divide each side by '-15'.
y = 0.6

Simplifying
y = 0.6

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