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Simplifying 0.6(y + 1.5) = 2.1(y + -3) Reorder the terms: 0.6(1.5 + y) = 2.1(y + -3) (1.5 * 0.6 + y * 0.6) = 2.1(y + -3) (0.9 + 0.6y) = 2.1(y + -3) Reorder the terms: 0.9 + 0.6y = 2.1(-3 + y) 0.9 + 0.6y = (-3 * 2.1 + y * 2.1) 0.9 + 0.6y = (-6.3 + 2.1y) Solving 0.9 + 0.6y = -6.3 + 2.1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2.1y' to each side of the equation. 0.9 + 0.6y + -2.1y = -6.3 + 2.1y + -2.1y Combine like terms: 0.6y + -2.1y = -1.5y 0.9 + -1.5y = -6.3 + 2.1y + -2.1y Combine like terms: 2.1y + -2.1y = 0.0 0.9 + -1.5y = -6.3 + 0.0 0.9 + -1.5y = -6.3 Add '-0.9' to each side of the equation. 0.9 + -0.9 + -1.5y = -6.3 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + -1.5y = -6.3 + -0.9 -1.5y = -6.3 + -0.9 Combine like terms: -6.3 + -0.9 = -7.2 -1.5y = -7.2 Divide each side by '-1.5'. y = 4.8 Simplifying y = 4.8
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