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Simplifying -0.8(y + 5) = -1.6(y + 8) Reorder the terms: -0.8(5 + y) = -1.6(y + 8) (5 * -0.8 + y * -0.8) = -1.6(y + 8) (-4 + -0.8y) = -1.6(y + 8) Reorder the terms: -4 + -0.8y = -1.6(8 + y) -4 + -0.8y = (8 * -1.6 + y * -1.6) -4 + -0.8y = (-12.8 + -1.6y) Solving -4 + -0.8y = -12.8 + -1.6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '1.6y' to each side of the equation. -4 + -0.8y + 1.6y = -12.8 + -1.6y + 1.6y Combine like terms: -0.8y + 1.6y = 0.8y -4 + 0.8y = -12.8 + -1.6y + 1.6y Combine like terms: -1.6y + 1.6y = 0.0 -4 + 0.8y = -12.8 + 0.0 -4 + 0.8y = -12.8 Add '4' to each side of the equation. -4 + 4 + 0.8y = -12.8 + 4 Combine like terms: -4 + 4 = 0 0 + 0.8y = -12.8 + 4 0.8y = -12.8 + 4 Combine like terms: -12.8 + 4 = -8.8 0.8y = -8.8 Divide each side by '0.8'. y = -11 Simplifying y = -11
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