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Simplifying 0.5(2y + 9) = 0.3(4y + -9) Reorder the terms: 0.5(9 + 2y) = 0.3(4y + -9) (9 * 0.5 + 2y * 0.5) = 0.3(4y + -9) (4.5 + 1y) = 0.3(4y + -9) Reorder the terms: 4.5 + 1y = 0.3(-9 + 4y) 4.5 + 1y = (-9 * 0.3 + 4y * 0.3) 4.5 + 1y = (-2.7 + 1.2y) Solving 4.5 + 1y = -2.7 + 1.2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1.2y' to each side of the equation. 4.5 + 1y + -1.2y = -2.7 + 1.2y + -1.2y Combine like terms: 1y + -1.2y = -0.2y 4.5 + -0.2y = -2.7 + 1.2y + -1.2y Combine like terms: 1.2y + -1.2y = 0.0 4.5 + -0.2y = -2.7 + 0.0 4.5 + -0.2y = -2.7 Add '-4.5' to each side of the equation. 4.5 + -4.5 + -0.2y = -2.7 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + -0.2y = -2.7 + -4.5 -0.2y = -2.7 + -4.5 Combine like terms: -2.7 + -4.5 = -7.2 -0.2y = -7.2 Divide each side by '-0.2'. y = 36 Simplifying y = 36
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