2(y-3)-5(y+1)=0

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Solution for 2(y-3)-5(y+1)=0 equation:


Simplifying
2(y + -3) + -5(y + 1) = 0

Reorder the terms:
2(-3 + y) + -5(y + 1) = 0
(-3 * 2 + y * 2) + -5(y + 1) = 0
(-6 + 2y) + -5(y + 1) = 0

Reorder the terms:
-6 + 2y + -5(1 + y) = 0
-6 + 2y + (1 * -5 + y * -5) = 0
-6 + 2y + (-5 + -5y) = 0

Reorder the terms:
-6 + -5 + 2y + -5y = 0

Combine like terms: -6 + -5 = -11
-11 + 2y + -5y = 0

Combine like terms: 2y + -5y = -3y
-11 + -3y = 0

Solving
-11 + -3y = 0

Solving for variable 'y'.

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

Add '11' to each side of the equation.
-11 + 11 + -3y = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -3y = 0 + 11
-3y = 0 + 11

Combine like terms: 0 + 11 = 11
-3y = 11

Divide each side by '-3'.
y = -3.666666667

Simplifying
y = -3.666666667

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