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Simplifying y + 0.5y + -0.9 = 6(y + -2.4) Reorder the terms: -0.9 + y + 0.5y = 6(y + -2.4) Combine like terms: y + 0.5y = 1.5y -0.9 + 1.5y = 6(y + -2.4) Reorder the terms: -0.9 + 1.5y = 6(-2.4 + y) -0.9 + 1.5y = (-2.4 * 6 + y * 6) -0.9 + 1.5y = (-14.4 + 6y) Solving -0.9 + 1.5y = -14.4 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -0.9 + 1.5y + -6y = -14.4 + 6y + -6y Combine like terms: 1.5y + -6y = -4.5y -0.9 + -4.5y = -14.4 + 6y + -6y Combine like terms: 6y + -6y = 0 -0.9 + -4.5y = -14.4 + 0 -0.9 + -4.5y = -14.4 Add '0.9' to each side of the equation. -0.9 + 0.9 + -4.5y = -14.4 + 0.9 Combine like terms: -0.9 + 0.9 = 0.0 0.0 + -4.5y = -14.4 + 0.9 -4.5y = -14.4 + 0.9 Combine like terms: -14.4 + 0.9 = -13.5 -4.5y = -13.5 Divide each side by '-4.5'. y = 3 Simplifying y = 3
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