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Simplifying 4(y + -9) = 3(y + 4) Reorder the terms: 4(-9 + y) = 3(y + 4) (-9 * 4 + y * 4) = 3(y + 4) (-36 + 4y) = 3(y + 4) Reorder the terms: -36 + 4y = 3(4 + y) -36 + 4y = (4 * 3 + y * 3) -36 + 4y = (12 + 3y) Solving -36 + 4y = 12 + 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. -36 + 4y + -3y = 12 + 3y + -3y Combine like terms: 4y + -3y = 1y -36 + 1y = 12 + 3y + -3y Combine like terms: 3y + -3y = 0 -36 + 1y = 12 + 0 -36 + 1y = 12 Add '36' to each side of the equation. -36 + 36 + 1y = 12 + 36 Combine like terms: -36 + 36 = 0 0 + 1y = 12 + 36 1y = 12 + 36 Combine like terms: 12 + 36 = 48 1y = 48 Divide each side by '1'. y = 48 Simplifying y = 48
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