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Simplifying -3(y + -7) = -5y + 3 Reorder the terms: -3(-7 + y) = -5y + 3 (-7 * -3 + y * -3) = -5y + 3 (21 + -3y) = -5y + 3 Reorder the terms: 21 + -3y = 3 + -5y Solving 21 + -3y = 3 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. 21 + -3y + 5y = 3 + -5y + 5y Combine like terms: -3y + 5y = 2y 21 + 2y = 3 + -5y + 5y Combine like terms: -5y + 5y = 0 21 + 2y = 3 + 0 21 + 2y = 3 Add '-21' to each side of the equation. 21 + -21 + 2y = 3 + -21 Combine like terms: 21 + -21 = 0 0 + 2y = 3 + -21 2y = 3 + -21 Combine like terms: 3 + -21 = -18 2y = -18 Divide each side by '2'. y = -9 Simplifying y = -9
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