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Simplifying 4(y + -5) = 3(y + 7) Reorder the terms: 4(-5 + y) = 3(y + 7) (-5 * 4 + y * 4) = 3(y + 7) (-20 + 4y) = 3(y + 7) Reorder the terms: -20 + 4y = 3(7 + y) -20 + 4y = (7 * 3 + y * 3) -20 + 4y = (21 + 3y) Solving -20 + 4y = 21 + 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. -20 + 4y + -3y = 21 + 3y + -3y Combine like terms: 4y + -3y = 1y -20 + 1y = 21 + 3y + -3y Combine like terms: 3y + -3y = 0 -20 + 1y = 21 + 0 -20 + 1y = 21 Add '20' to each side of the equation. -20 + 20 + 1y = 21 + 20 Combine like terms: -20 + 20 = 0 0 + 1y = 21 + 20 1y = 21 + 20 Combine like terms: 21 + 20 = 41 1y = 41 Divide each side by '1'. y = 41 Simplifying y = 41
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