Solve for y
y=4
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5\left(9y-2\right)=17\left(y+6\right)
Variable y cannot be equal to -6 since division by zero is not defined. Multiply both sides of the equation by 5\left(y+6\right), the least common multiple of y+6,5.
45y-10=17\left(y+6\right)
Use the distributive property to multiply 5 by 9y-2.
45y-10=17y+102
Use the distributive property to multiply 17 by y+6.
45y-10-17y=102
Subtract 17y from both sides.
28y-10=102
Combine 45y and -17y to get 28y.
28y=102+10
Add 10 to both sides.
28y=112
Add 102 and 10 to get 112.
y=\frac{112}{28}
Divide both sides by 28.
y=4
Divide 112 by 28 to get 4.
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