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Simplifying -3.2y + 1.4 = -0.8(9y + -5) Reorder the terms: 1.4 + -3.2y = -0.8(9y + -5) Reorder the terms: 1.4 + -3.2y = -0.8(-5 + 9y) 1.4 + -3.2y = (-5 * -0.8 + 9y * -0.8) 1.4 + -3.2y = (4 + -7.2y) Solving 1.4 + -3.2y = 4 + -7.2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7.2y' to each side of the equation. 1.4 + -3.2y + 7.2y = 4 + -7.2y + 7.2y Combine like terms: -3.2y + 7.2y = 4y 1.4 + 4y = 4 + -7.2y + 7.2y Combine like terms: -7.2y + 7.2y = 0.0 1.4 + 4y = 4 + 0.0 1.4 + 4y = 4 Add '-1.4' to each side of the equation. 1.4 + -1.4 + 4y = 4 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + 4y = 4 + -1.4 4y = 4 + -1.4 Combine like terms: 4 + -1.4 = 2.6 4y = 2.6 Divide each side by '4'. y = 0.65 Simplifying y = 0.65
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