-(3y+1)-(2y-6)=3

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Solution for -(3y+1)-(2y-6)=3 equation:


Simplifying
-1(3y + 1) + -1(2y + -6) = 3

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

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

Reorder the terms:
-1 + 6 + -3y + -2y = 3

Combine like terms: -1 + 6 = 5
5 + -3y + -2y = 3

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

Solving
5 + -5y = 3

Solving for variable 'y'.

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

Add '-5' to each side of the equation.
5 + -5 + -5y = 3 + -5

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

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

Divide each side by '-5'.
y = 0.4

Simplifying
y = 0.4

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