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Simplifying 4(7 + -1y) = (4 * 7) + -1(4 + -1y) (7 * 4 + -1y * 4) = (4 * 7) + -1(4 + -1y) (28 + -4y) = (4 * 7) + -1(4 + -1y) Multiply 4 * 7 28 + -4y = (28) + -1(4 + -1y) 28 + -4y = 28 + -1(4 + -1y) 28 + -4y = 28 + (4 * -1 + -1y * -1) 28 + -4y = 28 + (-4 + 1y) Combine like terms: 28 + -4 = 24 28 + -4y = 24 + 1y Solving 28 + -4y = 24 + 1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 28 + -4y + -1y = 24 + 1y + -1y Combine like terms: -4y + -1y = -5y 28 + -5y = 24 + 1y + -1y Combine like terms: 1y + -1y = 0 28 + -5y = 24 + 0 28 + -5y = 24 Add '-28' to each side of the equation. 28 + -28 + -5y = 24 + -28 Combine like terms: 28 + -28 = 0 0 + -5y = 24 + -28 -5y = 24 + -28 Combine like terms: 24 + -28 = -4 -5y = -4 Divide each side by '-5'. y = 0.8 Simplifying y = 0.8
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