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Simplifying 0.18(y + -1) = 0.24(2y + -3) Reorder the terms: 0.18(-1 + y) = 0.24(2y + -3) (-1 * 0.18 + y * 0.18) = 0.24(2y + -3) (-0.18 + 0.18y) = 0.24(2y + -3) Reorder the terms: -0.18 + 0.18y = 0.24(-3 + 2y) -0.18 + 0.18y = (-3 * 0.24 + 2y * 0.24) -0.18 + 0.18y = (-0.72 + 0.48y) Solving -0.18 + 0.18y = -0.72 + 0.48y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.48y' to each side of the equation. -0.18 + 0.18y + -0.48y = -0.72 + 0.48y + -0.48y Combine like terms: 0.18y + -0.48y = -0.3y -0.18 + -0.3y = -0.72 + 0.48y + -0.48y Combine like terms: 0.48y + -0.48y = 0.00 -0.18 + -0.3y = -0.72 + 0.00 -0.18 + -0.3y = -0.72 Add '0.18' to each side of the equation. -0.18 + 0.18 + -0.3y = -0.72 + 0.18 Combine like terms: -0.18 + 0.18 = 0.00 0.00 + -0.3y = -0.72 + 0.18 -0.3y = -0.72 + 0.18 Combine like terms: -0.72 + 0.18 = -0.54 -0.3y = -0.54 Divide each side by '-0.3'. y = 1.8 Simplifying y = 1.8
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