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Simplifying 2.4(y + -3) + -1.4y = -1.8(6 + -1y) + 5.6 Reorder the terms: 2.4(-3 + y) + -1.4y = -1.8(6 + -1y) + 5.6 (-3 * 2.4 + y * 2.4) + -1.4y = -1.8(6 + -1y) + 5.6 (-7.2 + 2.4y) + -1.4y = -1.8(6 + -1y) + 5.6 Combine like terms: 2.4y + -1.4y = 1y -7.2 + 1y = -1.8(6 + -1y) + 5.6 -7.2 + 1y = (6 * -1.8 + -1y * -1.8) + 5.6 -7.2 + 1y = (-10.8 + 1.8y) + 5.6 Reorder the terms: -7.2 + 1y = -10.8 + 5.6 + 1.8y Combine like terms: -10.8 + 5.6 = -5.2 -7.2 + 1y = -5.2 + 1.8y Solving -7.2 + 1y = -5.2 + 1.8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1.8y' to each side of the equation. -7.2 + 1y + -1.8y = -5.2 + 1.8y + -1.8y Combine like terms: 1y + -1.8y = -0.8y -7.2 + -0.8y = -5.2 + 1.8y + -1.8y Combine like terms: 1.8y + -1.8y = 0.0 -7.2 + -0.8y = -5.2 + 0.0 -7.2 + -0.8y = -5.2 Add '7.2' to each side of the equation. -7.2 + 7.2 + -0.8y = -5.2 + 7.2 Combine like terms: -7.2 + 7.2 = 0.0 0.0 + -0.8y = -5.2 + 7.2 -0.8y = -5.2 + 7.2 Combine like terms: -5.2 + 7.2 = 2 -0.8y = 2 Divide each side by '-0.8'. y = -2.5 Simplifying y = -2.5
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