Step-2

Title: Solve the equation

Grade: 7-b Lesson: S2-L6

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Steps Problem Solution

1

Solve

\$ 5/9 y - 6 = 1/3 y - 16 \$

2

Move variable terms to the left side and constant terms to the right side

\$ ((5y)/9) - ((y)/3) = -16 + 6 \$

3

Taking LCM as '\$9\$'

\$ (5y - 3y)/9 = -10/1\$

4

By using cross multiplication

\$ 5y - 3y = -90\$

5

After Subtraction

\$ 2y = -90 \$

6

Dividing on both sides by '\$2\$' of the equality

\$ \cancel(2)^1/ \cancel(2)^1 y = -\cancel90^(45)/\cancel2^1 \$

7

After cancelation

\$ y = - 45 \$

8

Answer

C = \$ y = - 45 \$


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