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Simplifying 4(y + 5) = 7y + -7 Reorder the terms: 4(5 + y) = 7y + -7 (5 * 4 + y * 4) = 7y + -7 (20 + 4y) = 7y + -7 Reorder the terms: 20 + 4y = -7 + 7y Solving 20 + 4y = -7 + 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 + 4y + -7y = -7 + 7y + -7y Combine like terms: 4y + -7y = -3y 20 + -3y = -7 + 7y + -7y Combine like terms: 7y + -7y = 0 20 + -3y = -7 + 0 20 + -3y = -7 Add '-20' to each side of the equation. 20 + -20 + -3y = -7 + -20 Combine like terms: 20 + -20 = 0 0 + -3y = -7 + -20 -3y = -7 + -20 Combine like terms: -7 + -20 = -27 -3y = -27 Divide each side by '-3'. y = 9 Simplifying y = 9
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