7y+4=2y-6

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


Simplifying
7y + 4 = 2y + -6

Reorder the terms:
4 + 7y = 2y + -6

Reorder the terms:
4 + 7y = -6 + 2y

Solving
4 + 7y = -6 + 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 + 7y + -2y = -6 + 2y + -2y

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

Combine like terms: 2y + -2y = 0
4 + 5y = -6 + 0
4 + 5y = -6

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

Combine like terms: 4 + -4 = 0
0 + 5y = -6 + -4
5y = -6 + -4

Combine like terms: -6 + -4 = -10
5y = -10

Divide each side by '5'.
y = -2

Simplifying
y = -2

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