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Simplifying -4(y + 1) + 3(3y + -3) = 4(y + -5) + 9 Reorder the terms: -4(1 + y) + 3(3y + -3) = 4(y + -5) + 9 (1 * -4 + y * -4) + 3(3y + -3) = 4(y + -5) + 9 (-4 + -4y) + 3(3y + -3) = 4(y + -5) + 9 Reorder the terms: -4 + -4y + 3(-3 + 3y) = 4(y + -5) + 9 -4 + -4y + (-3 * 3 + 3y * 3) = 4(y + -5) + 9 -4 + -4y + (-9 + 9y) = 4(y + -5) + 9 Reorder the terms: -4 + -9 + -4y + 9y = 4(y + -5) + 9 Combine like terms: -4 + -9 = -13 -13 + -4y + 9y = 4(y + -5) + 9 Combine like terms: -4y + 9y = 5y -13 + 5y = 4(y + -5) + 9 Reorder the terms: -13 + 5y = 4(-5 + y) + 9 -13 + 5y = (-5 * 4 + y * 4) + 9 -13 + 5y = (-20 + 4y) + 9 Reorder the terms: -13 + 5y = -20 + 9 + 4y Combine like terms: -20 + 9 = -11 -13 + 5y = -11 + 4y Solving -13 + 5y = -11 + 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. -13 + 5y + -4y = -11 + 4y + -4y Combine like terms: 5y + -4y = 1y -13 + 1y = -11 + 4y + -4y Combine like terms: 4y + -4y = 0 -13 + 1y = -11 + 0 -13 + 1y = -11 Add '13' to each side of the equation. -13 + 13 + 1y = -11 + 13 Combine like terms: -13 + 13 = 0 0 + 1y = -11 + 13 1y = -11 + 13 Combine like terms: -11 + 13 = 2 1y = 2 Divide each side by '1'. y = 2 Simplifying y = 2
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