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Simplifying 3.2y + -5 = 3 + 2(1.4y + 4) Reorder the terms: -5 + 3.2y = 3 + 2(1.4y + 4) Reorder the terms: -5 + 3.2y = 3 + 2(4 + 1.4y) -5 + 3.2y = 3 + (4 * 2 + 1.4y * 2) -5 + 3.2y = 3 + (8 + 2.8y) Combine like terms: 3 + 8 = 11 -5 + 3.2y = 11 + 2.8y Solving -5 + 3.2y = 11 + 2.8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2.8y' to each side of the equation. -5 + 3.2y + -2.8y = 11 + 2.8y + -2.8y Combine like terms: 3.2y + -2.8y = 0.4y -5 + 0.4y = 11 + 2.8y + -2.8y Combine like terms: 2.8y + -2.8y = 0.0 -5 + 0.4y = 11 + 0.0 -5 + 0.4y = 11 Add '5' to each side of the equation. -5 + 5 + 0.4y = 11 + 5 Combine like terms: -5 + 5 = 0 0 + 0.4y = 11 + 5 0.4y = 11 + 5 Combine like terms: 11 + 5 = 16 0.4y = 16 Divide each side by '0.4'. y = 40 Simplifying y = 40
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