How do you solve 6y+10> 8-(y+14)

answer: y=   −16/7

step 1: simplify both sides of the equation.

6y+10=8−(y+14)

6y+10=8+−1(y+14)(distribute the negative sign)

6y+10=8+−1y+(−1)(14)

6y+10=8+−y+−14

6y+10=(−y)+(8+−14)(combine like terms)

6y+10=−y+−6

6y+10=−y−6

step 2: add y to both sides.

6y+10+y=−y−6+y

7y+10=−6

step 3: subtract 10 from both sides.

7y+10−10=−6−10

7y=−16

step 4: divide both sides by 7.

7y /7   = −16 /7

y=   −16 /7