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Simplifying 4(1.75y + 2) = 4(7 + -0.75y) Reorder the terms: 4(2 + 1.75y) = 4(7 + -0.75y) (2 * 4 + 1.75y * 4) = 4(7 + -0.75y) (8 + 7y) = 4(7 + -0.75y) 8 + 7y = (7 * 4 + -0.75y * 4) 8 + 7y = (28 + -3y) Solving 8 + 7y = 28 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 8 + 7y + 3y = 28 + -3y + 3y Combine like terms: 7y + 3y = 10y 8 + 10y = 28 + -3y + 3y Combine like terms: -3y + 3y = 0 8 + 10y = 28 + 0 8 + 10y = 28 Add '-8' to each side of the equation. 8 + -8 + 10y = 28 + -8 Combine like terms: 8 + -8 = 0 0 + 10y = 28 + -8 10y = 28 + -8 Combine like terms: 28 + -8 = 20 10y = 20 Divide each side by '10'. y = 2 Simplifying y = 2
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