y-4=-2y-7

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Solution for y-4=-2y-7 equation:


Simplifying
y + -4 = -2y + -7

Reorder the terms:
-4 + y = -2y + -7

Reorder the terms:
-4 + y = -7 + -2y

Solving
-4 + y = -7 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
-4 + y + 2y = -7 + -2y + 2y

Combine like terms: y + 2y = 3y
-4 + 3y = -7 + -2y + 2y

Combine like terms: -2y + 2y = 0
-4 + 3y = -7 + 0
-4 + 3y = -7

Add '4' to each side of the equation.
-4 + 4 + 3y = -7 + 4

Combine like terms: -4 + 4 = 0
0 + 3y = -7 + 4
3y = -7 + 4

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

Divide each side by '3'.
y = -1

Simplifying
y = -1

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