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Simplifying 3(y + -4) + -3(y + -9) + -5(y + 4) = 0 Reorder the terms: 3(-4 + y) + -3(y + -9) + -5(y + 4) = 0 (-4 * 3 + y * 3) + -3(y + -9) + -5(y + 4) = 0 (-12 + 3y) + -3(y + -9) + -5(y + 4) = 0 Reorder the terms: -12 + 3y + -3(-9 + y) + -5(y + 4) = 0 -12 + 3y + (-9 * -3 + y * -3) + -5(y + 4) = 0 -12 + 3y + (27 + -3y) + -5(y + 4) = 0 Reorder the terms: -12 + 3y + 27 + -3y + -5(4 + y) = 0 -12 + 3y + 27 + -3y + (4 * -5 + y * -5) = 0 -12 + 3y + 27 + -3y + (-20 + -5y) = 0 Reorder the terms: -12 + 27 + -20 + 3y + -3y + -5y = 0 Combine like terms: -12 + 27 = 15 15 + -20 + 3y + -3y + -5y = 0 Combine like terms: 15 + -20 = -5 -5 + 3y + -3y + -5y = 0 Combine like terms: 3y + -3y = 0 -5 + 0 + -5y = 0 -5 + -5y = 0 Solving -5 + -5y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -5y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -5y = 0 + 5 -5y = 0 + 5 Combine like terms: 0 + 5 = 5 -5y = 5 Divide each side by '-5'. y = -1 Simplifying y = -1
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