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Simplifying 4(2y + -5) = 7(y + 4) Reorder the terms: 4(-5 + 2y) = 7(y + 4) (-5 * 4 + 2y * 4) = 7(y + 4) (-20 + 8y) = 7(y + 4) Reorder the terms: -20 + 8y = 7(4 + y) -20 + 8y = (4 * 7 + y * 7) -20 + 8y = (28 + 7y) Solving -20 + 8y = 28 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -20 + 8y + -7y = 28 + 7y + -7y Combine like terms: 8y + -7y = 1y -20 + 1y = 28 + 7y + -7y Combine like terms: 7y + -7y = 0 -20 + 1y = 28 + 0 -20 + 1y = 28 Add '20' to each side of the equation. -20 + 20 + 1y = 28 + 20 Combine like terms: -20 + 20 = 0 0 + 1y = 28 + 20 1y = 28 + 20 Combine like terms: 28 + 20 = 48 1y = 48 Divide each side by '1'. y = 48 Simplifying y = 48
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