Question

Solve: 5y +12 - 3y + 12 = 18

Answer 1

5y-3y+12+12=18

2y = 18 - 24

y = -6/2

y = -3

Answer 2

`\huge\textsf{Hey there!}`

`\large\textsf{5y + 12 - 3y + 12 = 18}\\\\\large\text{COMBINE the LIKE TERMS}\\\\\large\textsf{(5y - 3y) + (12 + 12) = 18}\\\\\large\text{NEW EQUATION: \textsf{2y + 24 = 18}}\\\\\large\text{SUBTRACT 24 to BOTH SIDES}\\\\\large\textsf{2y + 24 - 24 = 18 + 24}\\\\\large\text{Cancel out: \textsf{24 - 24} because it gives you 0}\\\\\large\text{Keep: \textsf{18 - 24} because it helps solve it helps solve for y}\\\\\large\textsf{18 - 24 = \bf -6}`

`\large\text{NEW EQUATION: \textsf{2y = -6}}\\\\\large\text{DIVIDE 2 to BOTH SIDES}\\\\\mathsf{(2y)/(2y)=(-6)/(2)}\\\\\large\text{Cancel out: }\mathsf{(2)/(2)}\large\text{ because it gives you 1}\\\\\large\text{KEEP: }\mathsf{(-6)/(2)}\large\text{ because it gives you the y-value}\\\\\large\textsf{y = }\mathsf{(-6)/(2)}\\\\\mathsf{(-6)/(2)= \bf -3}\\\\\\\\\\\boxed{\boxed{\huge\textsf{Answer: y = \bf -3}}}\huge\checkmark`