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Simplifying 7(3 + -1y) = -3y + 5 (3 * 7 + -1y * 7) = -3y + 5 (21 + -7y) = -3y + 5 Reorder the terms: 21 + -7y = 5 + -3y Solving 21 + -7y = 5 + -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. 21 + -7y + 3y = 5 + -3y + 3y Combine like terms: -7y + 3y = -4y 21 + -4y = 5 + -3y + 3y Combine like terms: -3y + 3y = 0 21 + -4y = 5 + 0 21 + -4y = 5 Add '-21' to each side of the equation. 21 + -21 + -4y = 5 + -21 Combine like terms: 21 + -21 = 0 0 + -4y = 5 + -21 -4y = 5 + -21 Combine like terms: 5 + -21 = -16 -4y = -16 Divide each side by '-4'. y = 4 Simplifying y = 4
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