7-6(y+2)=13-4y

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Solution for 7-6(y+2)=13-4y equation:


Simplifying
7 + -6(y + 2) = 13 + -4y

Reorder the terms:
7 + -6(2 + y) = 13 + -4y
7 + (2 * -6 + y * -6) = 13 + -4y
7 + (-12 + -6y) = 13 + -4y

Combine like terms: 7 + -12 = -5
-5 + -6y = 13 + -4y

Solving
-5 + -6y = 13 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
-5 + -6y + 4y = 13 + -4y + 4y

Combine like terms: -6y + 4y = -2y
-5 + -2y = 13 + -4y + 4y

Combine like terms: -4y + 4y = 0
-5 + -2y = 13 + 0
-5 + -2y = 13

Add '5' to each side of the equation.
-5 + 5 + -2y = 13 + 5

Combine like terms: -5 + 5 = 0
0 + -2y = 13 + 5
-2y = 13 + 5

Combine like terms: 13 + 5 = 18
-2y = 18

Divide each side by '-2'.
y = -9

Simplifying
y = -9

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