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Simplifying 3(y + 7) = 4(y + -5) Reorder the terms: 3(7 + y) = 4(y + -5) (7 * 3 + y * 3) = 4(y + -5) (21 + 3y) = 4(y + -5) Reorder the terms: 21 + 3y = 4(-5 + y) 21 + 3y = (-5 * 4 + y * 4) 21 + 3y = (-20 + 4y) Solving 21 + 3y = -20 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 21 + 3y + -4y = -20 + 4y + -4y Combine like terms: 3y + -4y = -1y 21 + -1y = -20 + 4y + -4y Combine like terms: 4y + -4y = 0 21 + -1y = -20 + 0 21 + -1y = -20 Add '-21' to each side of the equation. 21 + -21 + -1y = -20 + -21 Combine like terms: 21 + -21 = 0 0 + -1y = -20 + -21 -1y = -20 + -21 Combine like terms: -20 + -21 = -41 -1y = -41 Divide each side by '-1'. y = 41 Simplifying y = 41
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