1y+3=7y-6

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Solution for 1y+3=7y-6 equation:


Simplifying
1y + 3 = 7y + -6

Reorder the terms:
3 + 1y = 7y + -6

Reorder the terms:
3 + 1y = -6 + 7y

Solving
3 + 1y = -6 + 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.
3 + 1y + -7y = -6 + 7y + -7y

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

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

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

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

Combine like terms: -6 + -3 = -9
-6y = -9

Divide each side by '-6'.
y = 1.5

Simplifying
y = 1.5

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