Solve 1-y+5/3=3(y-1)/4

$$1 - \frac { y + 5 } { 3 } = \frac { 3 ( y - 1 ) } { 4 }$$

Solve for y

$$y=\frac{1}{13}\approx 0.076923077$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 3,4.

$$12-4\left(y+5\right)=3\times 3\left(y-1\right)$$

Use the distributive property to multiply -4 by y+5.

$$12-4y-20=3\times 3\left(y-1\right)$$

Subtract 20 from 12 to get -8.

$$-8-4y=3\times 3\left(y-1\right)$$

Multiply 3 and 3 to get 9.

$$-8-4y=9\left(y-1\right)$$

Use the distributive property to multiply 9 by y-1.

$$-8-4y=9y-9$$

Subtract 9y from both sides.

$$-8-4y-9y=-9$$

Combine -4y and -9y to get -13y.

$$-8-13y=-9$$

Add 8 to both sides.

$$-13y=-9+8$$

Add -9 and 8 to get -1.

$$-13y=-1$$

Divide both sides by -13.

$$y=\frac{-1}{-13}$$

Fraction \frac{-1}{-13} can be simplified to \frac{1}{13} by removing the negative sign from both the numerator and the denominator.

$$y=\frac{1}{13}$$