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Simplifying -6(y + 7) + 5(2y + 12) + 10 = 100 Reorder the terms: -6(7 + y) + 5(2y + 12) + 10 = 100 (7 * -6 + y * -6) + 5(2y + 12) + 10 = 100 (-42 + -6y) + 5(2y + 12) + 10 = 100 Reorder the terms: -42 + -6y + 5(12 + 2y) + 10 = 100 -42 + -6y + (12 * 5 + 2y * 5) + 10 = 100 -42 + -6y + (60 + 10y) + 10 = 100 Reorder the terms: -42 + 60 + 10 + -6y + 10y = 100 Combine like terms: -42 + 60 = 18 18 + 10 + -6y + 10y = 100 Combine like terms: 18 + 10 = 28 28 + -6y + 10y = 100 Combine like terms: -6y + 10y = 4y 28 + 4y = 100 Solving 28 + 4y = 100 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 + 4y = 100 + -28 Combine like terms: 28 + -28 = 0 0 + 4y = 100 + -28 4y = 100 + -28 Combine like terms: 100 + -28 = 72 4y = 72 Divide each side by '4'. y = 18 Simplifying y = 18
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