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Simplifying (3y + 9y + -5) * 0.5 = y + 3 Reorder the terms: (-5 + 3y + 9y) * 0.5 = y + 3 Combine like terms: 3y + 9y = 12y (-5 + 12y) * 0.5 = y + 3 Reorder the terms for easier multiplication: 0.5(-5 + 12y) = y + 3 (-5 * 0.5 + 12y * 0.5) = y + 3 (-2.5 + 6y) = y + 3 Reorder the terms: -2.5 + 6y = 3 + y Solving -2.5 + 6y = 3 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -2.5 + 6y + -1y = 3 + y + -1y Combine like terms: 6y + -1y = 5y -2.5 + 5y = 3 + y + -1y Combine like terms: y + -1y = 0 -2.5 + 5y = 3 + 0 -2.5 + 5y = 3 Add '2.5' to each side of the equation. -2.5 + 2.5 + 5y = 3 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + 5y = 3 + 2.5 5y = 3 + 2.5 Combine like terms: 3 + 2.5 = 5.5 5y = 5.5 Divide each side by '5'. y = 1.1 Simplifying y = 1.1
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