3y+1=14y-6

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Solution for 3y+1=14y-6 equation:


Simplifying
3y + 1 = 14y + -6

Reorder the terms:
1 + 3y = 14y + -6

Reorder the terms:
1 + 3y = -6 + 14y

Solving
1 + 3y = -6 + 14y

Solving for variable 'y'.

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

Add '-14y' to each side of the equation.
1 + 3y + -14y = -6 + 14y + -14y

Combine like terms: 3y + -14y = -11y
1 + -11y = -6 + 14y + -14y

Combine like terms: 14y + -14y = 0
1 + -11y = -6 + 0
1 + -11y = -6

Add '-1' to each side of the equation.
1 + -1 + -11y = -6 + -1

Combine like terms: 1 + -1 = 0
0 + -11y = -6 + -1
-11y = -6 + -1

Combine like terms: -6 + -1 = -7
-11y = -7

Divide each side by '-11'.
y = 0.6363636364

Simplifying
y = 0.6363636364

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