3y+4=-4y+7

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Solution for 3y+4=-4y+7 equation:


Simplifying
3y + 4 = -4y + 7

Reorder the terms:
4 + 3y = -4y + 7

Reorder the terms:
4 + 3y = 7 + -4y

Solving
4 + 3y = 7 + -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.
4 + 3y + 4y = 7 + -4y + 4y

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

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

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

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

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

Divide each side by '7'.
y = 0.4285714286

Simplifying
y = 0.4285714286

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