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Simplifying 7 + 3y = 6 + 2y + -1(5 + y) 7 + 3y = 6 + 2y + (5 * -1 + y * -1) 7 + 3y = 6 + 2y + (-5 + -1y) Reorder the terms: 7 + 3y = 6 + -5 + 2y + -1y Combine like terms: 6 + -5 = 1 7 + 3y = 1 + 2y + -1y Combine like terms: 2y + -1y = 1y 7 + 3y = 1 + 1y Solving 7 + 3y = 1 + 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. 7 + 3y + -1y = 1 + 1y + -1y Combine like terms: 3y + -1y = 2y 7 + 2y = 1 + 1y + -1y Combine like terms: 1y + -1y = 0 7 + 2y = 1 + 0 7 + 2y = 1 Add '-7' to each side of the equation. 7 + -7 + 2y = 1 + -7 Combine like terms: 7 + -7 = 0 0 + 2y = 1 + -7 2y = 1 + -7 Combine like terms: 1 + -7 = -6 2y = -6 Divide each side by '2'. y = -3 Simplifying y = -3
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