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Simplifying 5y + 7 = 3y + -13 Reorder the terms: 7 + 5y = 3y + -13 Reorder the terms: 7 + 5y = -13 + 3y Solving 7 + 5y = -13 + 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. 7 + 5y + -3y = -13 + 3y + -3y Combine like terms: 5y + -3y = 2y 7 + 2y = -13 + 3y + -3y Combine like terms: 3y + -3y = 0 7 + 2y = -13 + 0 7 + 2y = -13 Add '-7' to each side of the equation. 7 + -7 + 2y = -13 + -7 Combine like terms: 7 + -7 = 0 0 + 2y = -13 + -7 2y = -13 + -7 Combine like terms: -13 + -7 = -20 2y = -20 Divide each side by '2'. y = -10 Simplifying y = -10
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