(5-2y)4+(3y+15)3=72

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Solution for (5-2y)4+(3y+15)3=72 equation: 


Simplifying
(5 + -2y) * 4 + (3y + 15) * 3 = 72

Reorder the terms for easier multiplication:
4(5 + -2y) + (3y + 15) * 3 = 72
(5 * 4 + -2y * 4) + (3y + 15) * 3 = 72
(20 + -8y) + (3y + 15) * 3 = 72

Reorder the terms:
20 + -8y + (15 + 3y) * 3 = 72

Reorder the terms for easier multiplication:
20 + -8y + 3(15 + 3y) = 72
20 + -8y + (15 * 3 + 3y * 3) = 72
20 + -8y + (45 + 9y) = 72

Reorder the terms:
20 + 45 + -8y + 9y = 72

Combine like terms: 20 + 45 = 65
65 + -8y + 9y = 72

Combine like terms: -8y + 9y = 1y
65 + 1y = 72

Solving
65 + 1y = 72

Solving for variable 'y'.

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

Add '-65' to each side of the equation.
65 + -65 + 1y = 72 + -65

Combine like terms: 65 + -65 = 0
0 + 1y = 72 + -65
1y = 72 + -65

Combine like terms: 72 + -65 = 7
1y = 7

Divide each side by '1'.
y = 7

Simplifying
y = 7

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