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Simplifying 1.6(y + -8) = -2.4(y + -18) Reorder the terms: 1.6(-8 + y) = -2.4(y + -18) (-8 * 1.6 + y * 1.6) = -2.4(y + -18) (-12.8 + 1.6y) = -2.4(y + -18) Reorder the terms: -12.8 + 1.6y = -2.4(-18 + y) -12.8 + 1.6y = (-18 * -2.4 + y * -2.4) -12.8 + 1.6y = (43.2 + -2.4y) Solving -12.8 + 1.6y = 43.2 + -2.4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2.4y' to each side of the equation. -12.8 + 1.6y + 2.4y = 43.2 + -2.4y + 2.4y Combine like terms: 1.6y + 2.4y = 4y -12.8 + 4y = 43.2 + -2.4y + 2.4y Combine like terms: -2.4y + 2.4y = 0.0 -12.8 + 4y = 43.2 + 0.0 -12.8 + 4y = 43.2 Add '12.8' to each side of the equation. -12.8 + 12.8 + 4y = 43.2 + 12.8 Combine like terms: -12.8 + 12.8 = 0.0 0.0 + 4y = 43.2 + 12.8 4y = 43.2 + 12.8 Combine like terms: 43.2 + 12.8 = 56 4y = 56 Divide each side by '4'. y = 14 Simplifying y = 14
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