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Simplifying -41 + 13y + 8 = 3(5y + -2) + -9 Reorder the terms: -41 + 8 + 13y = 3(5y + -2) + -9 Combine like terms: -41 + 8 = -33 -33 + 13y = 3(5y + -2) + -9 Reorder the terms: -33 + 13y = 3(-2 + 5y) + -9 -33 + 13y = (-2 * 3 + 5y * 3) + -9 -33 + 13y = (-6 + 15y) + -9 Reorder the terms: -33 + 13y = -6 + -9 + 15y Combine like terms: -6 + -9 = -15 -33 + 13y = -15 + 15y Solving -33 + 13y = -15 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. -33 + 13y + -15y = -15 + 15y + -15y Combine like terms: 13y + -15y = -2y -33 + -2y = -15 + 15y + -15y Combine like terms: 15y + -15y = 0 -33 + -2y = -15 + 0 -33 + -2y = -15 Add '33' to each side of the equation. -33 + 33 + -2y = -15 + 33 Combine like terms: -33 + 33 = 0 0 + -2y = -15 + 33 -2y = -15 + 33 Combine like terms: -15 + 33 = 18 -2y = 18 Divide each side by '-2'. y = -9 Simplifying y = -9
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