3y+7=4y+2y+6

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Solution for 3y+7=4y+2y+6 equation:


Simplifying
3y + 7 = 4y + 2y + 6

Reorder the terms:
7 + 3y = 4y + 2y + 6

Reorder the terms:
7 + 3y = 6 + 4y + 2y

Combine like terms: 4y + 2y = 6y
7 + 3y = 6 + 6y

Solving
7 + 3y = 6 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
7 + 3y + -6y = 6 + 6y + -6y

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

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

Add '-7' to each side of the equation.
7 + -7 + -3y = 6 + -7

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

Combine like terms: 6 + -7 = -1
-3y = -1

Divide each side by '-3'.
y = 0.3333333333

Simplifying
y = 0.3333333333

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