How do you solve #17=7+8y#?

1 Answer
Mar 29, 2018

#y=5/4#

Explanation:

Solve:

#17=7+8y#

Switch sides.

#8y+7=17#

Subtract #7# from both sides.

#8y+color(red)cancel(color(black)(7))-color(red)cancel(color(black)(7))=17-7#

Simplify.j

#8y=10#

Divide both sides by #8#.

#(color(red)cancel(color(black)(8))^1y)/color(red)cancel(color(black)(8))^1=10/8#

Simplify.

#y=10/8#

Reduce by dividing the numerator and denominator by #2#.

#y=(10-:2)/(8-:2)#

Simplify.

#y=5/4#