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Simplifying 0.21y + -4.5 + 0.3 = 0.6y + -2.4 + -1.2y Reorder the terms: -4.5 + 0.3 + 0.21y = 0.6y + -2.4 + -1.2y Combine like terms: -4.5 + 0.3 = -4.2 -4.2 + 0.21y = 0.6y + -2.4 + -1.2y Reorder the terms: -4.2 + 0.21y = -2.4 + 0.6y + -1.2y Combine like terms: 0.6y + -1.2y = -0.6y -4.2 + 0.21y = -2.4 + -0.6y Solving -4.2 + 0.21y = -2.4 + -0.6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.6y' to each side of the equation. -4.2 + 0.21y + 0.6y = -2.4 + -0.6y + 0.6y Combine like terms: 0.21y + 0.6y = 0.81y -4.2 + 0.81y = -2.4 + -0.6y + 0.6y Combine like terms: -0.6y + 0.6y = 0.0 -4.2 + 0.81y = -2.4 + 0.0 -4.2 + 0.81y = -2.4 Add '4.2' to each side of the equation. -4.2 + 4.2 + 0.81y = -2.4 + 4.2 Combine like terms: -4.2 + 4.2 = 0.0 0.0 + 0.81y = -2.4 + 4.2 0.81y = -2.4 + 4.2 Combine like terms: -2.4 + 4.2 = 1.8 0.81y = 1.8 Divide each side by '0.81'. y = 2.222222222 Simplifying y = 2.222222222
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