Question

9(y+5)=27 explain please​

Answer 1

Answer:

Simplifying

27 = -9(y + 5)

Reorder the terms:

27 = -9(5 + y)

27 = (5 * -9 + y * -9)

27 = (-45 + -9y)

Solving

27 = -45 + -9y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '9y' to each side of the equation.

27 + 9y = -45 + -9y + 9y

Combine like terms: -9y + 9y = 0

27 + 9y = -45 + 0

27 + 9y = -45

Add '-27' to each side of the equation.

27 + -27 + 9y = -45 + -27

Combine like terms: 27 + -27 = 0

0 + 9y = -45 + -27

9y = -45 + -27

Combine like terms: -45 + -27 = -72

9y = -72

Divide each side by '9'.

y = -8

Simplifying

y = -8

Step-by-step explanation:

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Answer 2

${\huge{\boxed{\bold{\rm{Answer}}}}}$

${\sf{9(y + 5) = 27}} \\ {\sf{9y + 45 = 27}} \\ {\sf{9y = 27 - 45}} \\ {\sf{9y = - 18}} \\ {\sf{y = {\cancel\frac{ - 18}{9} }}} \\ {\sf{y = - 2}}$

• Multiply 9 inside the bracket.
• Transpose 45 to the LHS, which gives (-18).
• Again, transpose 9 to LHS.
• Hence the value of y = (-2)