Question

solve the equation 5y-8=12-y

Answer 1

Answer:

5−8=12−y

5−8=−y+12

y=10/3

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Answer 2

${\small{\bold{\purple{\underline{Answer}}}}}$

• Rearrange terms

$:\longrightarrow \rm5y - 8 = 12 - y \\ \: \: \: :\longrightarrow \rm5y - 8 = - y + 12</p><p>$

• Add 8 to both sides of the equation

$:\longrightarrow \rm5y - 8 = - y + 12 \\ :\longrightarrow \rm5y - 8 + 8 = - y + 12 + 8$

• Simplify

⚪Add The Numbers

$\: \: \: \: \: \: \: : \longrightarrow \rm5y = - y + 20$

• Add to both sides of the equation

$: \longrightarrow \rm5y = - y + 20 \\ : \longrightarrow \rm5y + y = - y + 20 + y$

• Simplify

⚪ Combine Like Terms

$\: \: \: \: \: \: \: : \longrightarrow \rm6y = 20$

• Divide both sides of the equation by the Same term

$\\: \: : \longrightarrow \rm \: 6y = 20 \\ : \longrightarrow \rm \frac{6y}{6} = \frac{20}{6}$

• Simplify

⚪Cancel terms that are in both the numerator

and denominator

⚪ Divide The Number's

$: \longrightarrow \rm \: Solution \: = \: y = \frac{10}{3}$