5y-6=-2y+4

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Solution for 5y-6=-2y+4 equation:


Simplifying
5y + -6 = -2y + 4

Reorder the terms:
-6 + 5y = -2y + 4

Reorder the terms:
-6 + 5y = 4 + -2y

Solving
-6 + 5y = 4 + -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.
-6 + 5y + 2y = 4 + -2y + 2y

Combine like terms: 5y + 2y = 7y
-6 + 7y = 4 + -2y + 2y

Combine like terms: -2y + 2y = 0
-6 + 7y = 4 + 0
-6 + 7y = 4

Add '6' to each side of the equation.
-6 + 6 + 7y = 4 + 6

Combine like terms: -6 + 6 = 0
0 + 7y = 4 + 6
7y = 4 + 6

Combine like terms: 4 + 6 = 10
7y = 10

Divide each side by '7'.
y = 1.428571429

Simplifying
y = 1.428571429

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