Solve for Y: 20y + 8×2 - 7 = 14 Linear Equation

Question

Solve the equation and find Y:

$20\times y+8\times2-7=14$

00:00 Let's solve what we can according to the appendix and transfer the terms

00:06 Let's start with multiplication operations

00:30 Let's continue with subtraction operation

00:37 Subtract 9 from both sides to isolate the variable

01:05 Divide by 20 to find Y

01:29 Reduce numerator and denominator

We begin by placing parentheses around the two multiplication exercises:

$(20\times y)+(8\times2)-7=14$

We then solve the exercises within the parentheses:

$20y+16-7=14$

We simplify:

$20y+9=14$

We move the sections:

$20y=14-9$

$20y=5$

We divide by 20:

$y=\frac{5}{20}$

$y=\frac{5}{5\times4}$

We simplify:

$y=\frac{1}{4}$

$\frac{1}{4}$