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Simplifying 1.5(y + -8) = 0.9 + -1y Reorder the terms: 1.5(-8 + y) = 0.9 + -1y (-8 * 1.5 + y * 1.5) = 0.9 + -1y (-12 + 1.5y) = 0.9 + -1y Solving -12 + 1.5y = 0.9 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. -12 + 1.5y + y = 0.9 + -1y + y Combine like terms: 1.5y + y = 2.5y -12 + 2.5y = 0.9 + -1y + y Combine like terms: -1y + y = 0 -12 + 2.5y = 0.9 + 0 -12 + 2.5y = 0.9 Add '12' to each side of the equation. -12 + 12 + 2.5y = 0.9 + 12 Combine like terms: -12 + 12 = 0 0 + 2.5y = 0.9 + 12 2.5y = 0.9 + 12 Combine like terms: 0.9 + 12 = 12.9 2.5y = 12.9 Divide each side by '2.5'. y = 5.16 Simplifying y = 5.16
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