3y+1=7y-2

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Solution for 3y+1=7y-2 equation:


Simplifying
3y + 1 = 7y + -2

Reorder the terms:
1 + 3y = 7y + -2

Reorder the terms:
1 + 3y = -2 + 7y

Solving
1 + 3y = -2 + 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.
1 + 3y + -7y = -2 + 7y + -7y

Combine like terms: 3y + -7y = -4y
1 + -4y = -2 + 7y + -7y

Combine like terms: 7y + -7y = 0
1 + -4y = -2 + 0
1 + -4y = -2

Add '-1' to each side of the equation.
1 + -1 + -4y = -2 + -1

Combine like terms: 1 + -1 = 0
0 + -4y = -2 + -1
-4y = -2 + -1

Combine like terms: -2 + -1 = -3
-4y = -3

Divide each side by '-4'.
y = 0.75

Simplifying
y = 0.75

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