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Simplifying 0.7(y + 18) + 0.3(2y + 3) = y + 3 Reorder the terms: 0.7(18 + y) + 0.3(2y + 3) = y + 3 (18 * 0.7 + y * 0.7) + 0.3(2y + 3) = y + 3 (12.6 + 0.7y) + 0.3(2y + 3) = y + 3 Reorder the terms: 12.6 + 0.7y + 0.3(3 + 2y) = y + 3 12.6 + 0.7y + (3 * 0.3 + 2y * 0.3) = y + 3 12.6 + 0.7y + (0.9 + 0.6y) = y + 3 Reorder the terms: 12.6 + 0.9 + 0.7y + 0.6y = y + 3 Combine like terms: 12.6 + 0.9 = 13.5 13.5 + 0.7y + 0.6y = y + 3 Combine like terms: 0.7y + 0.6y = 1.3y 13.5 + 1.3y = y + 3 Reorder the terms: 13.5 + 1.3y = 3 + y Solving 13.5 + 1.3y = 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. 13.5 + 1.3y + -1y = 3 + y + -1y Combine like terms: 1.3y + -1y = 0.3y 13.5 + 0.3y = 3 + y + -1y Combine like terms: y + -1y = 0 13.5 + 0.3y = 3 + 0 13.5 + 0.3y = 3 Add '-13.5' to each side of the equation. 13.5 + -13.5 + 0.3y = 3 + -13.5 Combine like terms: 13.5 + -13.5 = 0.0 0.0 + 0.3y = 3 + -13.5 0.3y = 3 + -13.5 Combine like terms: 3 + -13.5 = -10.5 0.3y = -10.5 Divide each side by '0.3'. y = -35 Simplifying y = -35
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