Solve for y
y=\frac{17}{36}\approx 0.472222222
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5\left(3y-2\right)=7\left(1-3y\right)
Multiply both sides of the equation by 35, the least common multiple of 7,5.
15y-10=7\left(1-3y\right)
Use the distributive property to multiply 5 by 3y-2.
15y-10=7-21y
Use the distributive property to multiply 7 by 1-3y.
15y-10+21y=7
Add 21y to both sides.
36y-10=7
Combine 15y and 21y to get 36y.
36y=7+10
Add 10 to both sides.
36y=17
Add 7 and 10 to get 17.
y=\frac{17}{36}
Divide both sides by 36.
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