6(y-6)+4(y+2)=62

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Solution for 6(y-6)+4(y+2)=62 equation:


Simplifying
6(y + -6) + 4(y + 2) = 62

Reorder the terms:
6(-6 + y) + 4(y + 2) = 62
(-6 * 6 + y * 6) + 4(y + 2) = 62
(-36 + 6y) + 4(y + 2) = 62

Reorder the terms:
-36 + 6y + 4(2 + y) = 62
-36 + 6y + (2 * 4 + y * 4) = 62
-36 + 6y + (8 + 4y) = 62

Reorder the terms:
-36 + 8 + 6y + 4y = 62

Combine like terms: -36 + 8 = -28
-28 + 6y + 4y = 62

Combine like terms: 6y + 4y = 10y
-28 + 10y = 62

Solving
-28 + 10y = 62

Solving for variable 'y'.

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

Add '28' to each side of the equation.
-28 + 28 + 10y = 62 + 28

Combine like terms: -28 + 28 = 0
0 + 10y = 62 + 28
10y = 62 + 28

Combine like terms: 62 + 28 = 90
10y = 90

Divide each side by '10'.
y = 9

Simplifying
y = 9

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