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Simplifying (y + -5) * 6 = (y + 3) * 5 Reorder the terms: (-5 + y) * 6 = (y + 3) * 5 Reorder the terms for easier multiplication: 6(-5 + y) = (y + 3) * 5 (-5 * 6 + y * 6) = (y + 3) * 5 (-30 + 6y) = (y + 3) * 5 Reorder the terms: -30 + 6y = (3 + y) * 5 Reorder the terms for easier multiplication: -30 + 6y = 5(3 + y) -30 + 6y = (3 * 5 + y * 5) -30 + 6y = (15 + 5y) Solving -30 + 6y = 15 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -30 + 6y + -5y = 15 + 5y + -5y Combine like terms: 6y + -5y = 1y -30 + 1y = 15 + 5y + -5y Combine like terms: 5y + -5y = 0 -30 + 1y = 15 + 0 -30 + 1y = 15 Add '30' to each side of the equation. -30 + 30 + 1y = 15 + 30 Combine like terms: -30 + 30 = 0 0 + 1y = 15 + 30 1y = 15 + 30 Combine like terms: 15 + 30 = 45 1y = 45 Divide each side by '1'. y = 45 Simplifying y = 45
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