Solve the equation. $$\frac { y } { 5 } + \frac { y - 102 } { 6 } = \frac { 3 y + 6 } { 3 }$$
A)y = -5
B)y = -6
C)y = -29
D)y = -32
E)y = -30

Question

Quizplus · Accepted Answer

To solve the equation, first find a common denominator for the fractions, which is 30. Multiply each term by 30 to eliminate the fractions:  $$ 6y + 5(y - 102) = 10(3y + 6) $$  Simplify and solve for y:  $$ 6y + 5y - 510 = 30y + 60 $$  $$ 11y - 510 = 30y + 60 $$  $$ -510 - 60 = 30y - 11y $$  $$ -570 = 19y $$  $$ y = -30 $$

Solve the Equation y5+y−1026=3y+63\frac { y } { 5 } + \frac { y - 102 } { 6 } = \frac { 3 y + 6 } { 3 }5y​+6y−102​=33y+6​

Solve the Equation $\frac { y } { 5 } + \frac { y - 102 } { 6 } = \frac { 3 y + 6 } { 3 }$