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Simplifying 1.5(y + -3) = 2(5y + 10) Reorder the terms: 1.5(-3 + y) = 2(5y + 10) (-3 * 1.5 + y * 1.5) = 2(5y + 10) (-4.5 + 1.5y) = 2(5y + 10) Reorder the terms: -4.5 + 1.5y = 2(10 + 5y) -4.5 + 1.5y = (10 * 2 + 5y * 2) -4.5 + 1.5y = (20 + 10y) Solving -4.5 + 1.5y = 20 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. -4.5 + 1.5y + -10y = 20 + 10y + -10y Combine like terms: 1.5y + -10y = -8.5y -4.5 + -8.5y = 20 + 10y + -10y Combine like terms: 10y + -10y = 0 -4.5 + -8.5y = 20 + 0 -4.5 + -8.5y = 20 Add '4.5' to each side of the equation. -4.5 + 4.5 + -8.5y = 20 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + -8.5y = 20 + 4.5 -8.5y = 20 + 4.5 Combine like terms: 20 + 4.5 = 24.5 -8.5y = 24.5 Divide each side by '-8.5'. y = -2.882352941 Simplifying y = -2.882352941
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