2(3y+2)+4(5y+4)=72

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Solution for 2(3y+2)+4(5y+4)=72 equation:


Simplifying
2(3y + 2) + 4(5y + 4) = 72

Reorder the terms:
2(2 + 3y) + 4(5y + 4) = 72
(2 * 2 + 3y * 2) + 4(5y + 4) = 72
(4 + 6y) + 4(5y + 4) = 72

Reorder the terms:
4 + 6y + 4(4 + 5y) = 72
4 + 6y + (4 * 4 + 5y * 4) = 72
4 + 6y + (16 + 20y) = 72

Reorder the terms:
4 + 16 + 6y + 20y = 72

Combine like terms: 4 + 16 = 20
20 + 6y + 20y = 72

Combine like terms: 6y + 20y = 26y
20 + 26y = 72

Solving
20 + 26y = 72

Solving for variable 'y'.

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

Add '-20' to each side of the equation.
20 + -20 + 26y = 72 + -20

Combine like terms: 20 + -20 = 0
0 + 26y = 72 + -20
26y = 72 + -20

Combine like terms: 72 + -20 = 52
26y = 52

Divide each side by '26'.
y = 2

Simplifying
y = 2

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