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Simplifying 1.5(y + -4) = 6.9 + -1y Reorder the terms: 1.5(-4 + y) = 6.9 + -1y (-4 * 1.5 + y * 1.5) = 6.9 + -1y (-6 + 1.5y) = 6.9 + -1y Solving -6 + 1.5y = 6.9 + -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. -6 + 1.5y + y = 6.9 + -1y + y Combine like terms: 1.5y + y = 2.5y -6 + 2.5y = 6.9 + -1y + y Combine like terms: -1y + y = 0 -6 + 2.5y = 6.9 + 0 -6 + 2.5y = 6.9 Add '6' to each side of the equation. -6 + 6 + 2.5y = 6.9 + 6 Combine like terms: -6 + 6 = 0 0 + 2.5y = 6.9 + 6 2.5y = 6.9 + 6 Combine like terms: 6.9 + 6 = 12.9 2.5y = 12.9 Divide each side by '2.5'. y = 5.16 Simplifying y = 5.16
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