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Simplifying 5(3y + 7) + 2 = 7y + -20 Reorder the terms: 5(7 + 3y) + 2 = 7y + -20 (7 * 5 + 3y * 5) + 2 = 7y + -20 (35 + 15y) + 2 = 7y + -20 Reorder the terms: 35 + 2 + 15y = 7y + -20 Combine like terms: 35 + 2 = 37 37 + 15y = 7y + -20 Reorder the terms: 37 + 15y = -20 + 7y Solving 37 + 15y = -20 + 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. 37 + 15y + -7y = -20 + 7y + -7y Combine like terms: 15y + -7y = 8y 37 + 8y = -20 + 7y + -7y Combine like terms: 7y + -7y = 0 37 + 8y = -20 + 0 37 + 8y = -20 Add '-37' to each side of the equation. 37 + -37 + 8y = -20 + -37 Combine like terms: 37 + -37 = 0 0 + 8y = -20 + -37 8y = -20 + -37 Combine like terms: -20 + -37 = -57 8y = -57 Divide each side by '8'. y = -7.125 Simplifying y = -7.125
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