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Simplifying 1.5(y + -12) = 0.2 + -1y Reorder the terms: 1.5(-12 + y) = 0.2 + -1y (-12 * 1.5 + y * 1.5) = 0.2 + -1y (-18 + 1.5y) = 0.2 + -1y Solving -18 + 1.5y = 0.2 + -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. -18 + 1.5y + y = 0.2 + -1y + y Combine like terms: 1.5y + y = 2.5y -18 + 2.5y = 0.2 + -1y + y Combine like terms: -1y + y = 0 -18 + 2.5y = 0.2 + 0 -18 + 2.5y = 0.2 Add '18' to each side of the equation. -18 + 18 + 2.5y = 0.2 + 18 Combine like terms: -18 + 18 = 0 0 + 2.5y = 0.2 + 18 2.5y = 0.2 + 18 Combine like terms: 0.2 + 18 = 18.2 2.5y = 18.2 Divide each side by '2.5'. y = 7.28 Simplifying y = 7.28
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