Solve for y
y=8
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5\left(y-1\right)+7\left(3y+1\right)=210
Multiply both sides of the equation by 35, the least common multiple of 7,5.
5y-5+7\left(3y+1\right)=210
Use the distributive property to multiply 5 by y-1.
5y-5+21y+7=210
Use the distributive property to multiply 7 by 3y+1.
26y-5+7=210
Combine 5y and 21y to get 26y.
26y+2=210
Add -5 and 7 to get 2.
26y=210-2
Subtract 2 from both sides.
26y=208
Subtract 2 from 210 to get 208.
y=\frac{208}{26}
Divide both sides by 26.
y=8
Divide 208 by 26 to get 8.
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