2-(7y+5)=13-3y

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Solution for 2-(7y+5)=13-3y equation:


Simplifying
2 + -1(7y + 5) = 13 + -3y

Reorder the terms:
2 + -1(5 + 7y) = 13 + -3y
2 + (5 * -1 + 7y * -1) = 13 + -3y
2 + (-5 + -7y) = 13 + -3y

Combine like terms: 2 + -5 = -3
-3 + -7y = 13 + -3y

Solving
-3 + -7y = 13 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
-3 + -7y + 3y = 13 + -3y + 3y

Combine like terms: -7y + 3y = -4y
-3 + -4y = 13 + -3y + 3y

Combine like terms: -3y + 3y = 0
-3 + -4y = 13 + 0
-3 + -4y = 13

Add '3' to each side of the equation.
-3 + 3 + -4y = 13 + 3

Combine like terms: -3 + 3 = 0
0 + -4y = 13 + 3
-4y = 13 + 3

Combine like terms: 13 + 3 = 16
-4y = 16

Divide each side by '-4'.
y = -4

Simplifying
y = -4

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