Question

Solve : 6 ( y – 7 ) – 2 ( 6y – 8 ) = ( 4 – 10y )​

Answer 1

Given:

The equation -

6(y - 7) - 2(6y - 8) = (4 - 10y)​

What To Find:

We have to

• First, solve the equation.
• Next, find the value of y.

Solution:

⟾ 6(y - 7) - 2(6y - 8) = (4 - 10y)

Remove the brackets in both sides,

⟾ 6y - 42 - 12y + 16 = 4 - 10y

Rearrange the like terms in LHS,

⟾ 6y - 12y - 42 + 16 = 4 - 10y

Solve the like terms,

⟾ - 6y - 26 = 4 - 10y

Take 10y to LHS,

⟾ - 6y - 26 + 10y = 4

Take 26 to RHS,

⟾ - 6y + 10y = 4 + 26

Solve the LHS,

⟾ 4y = 4 + 26

Solve the RHS,

⟾ 4y = 30

Take 4 to RHS,

⟾ y = 30 ÷ 4

Solve the RHS,

⟾ y = 7.5

Final Answer:

∴ Thus, the value of y is 7.5.