4y+6=7y-4

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


Simplifying
4y + 6 = 7y + -4

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

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

Solving
6 + 4y = -4 + 7y

Solving for variable 'y'.

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

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

Combine like terms: 4y + -7y = -3y
6 + -3y = -4 + 7y + -7y

Combine like terms: 7y + -7y = 0
6 + -3y = -4 + 0
6 + -3y = -4

Add '-6' to each side of the equation.
6 + -6 + -3y = -4 + -6

Combine like terms: 6 + -6 = 0
0 + -3y = -4 + -6
-3y = -4 + -6

Combine like terms: -4 + -6 = -10
-3y = -10

Divide each side by '-3'.
y = 3.333333333

Simplifying
y = 3.333333333

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