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Simplifying 3(y + -4) + 4 + -5(y + -1) = 0 Reorder the terms: 3(-4 + y) + 4 + -5(y + -1) = 0 (-4 * 3 + y * 3) + 4 + -5(y + -1) = 0 (-12 + 3y) + 4 + -5(y + -1) = 0 Reorder the terms: -12 + 3y + 4 + -5(-1 + y) = 0 -12 + 3y + 4 + (-1 * -5 + y * -5) = 0 -12 + 3y + 4 + (5 + -5y) = 0 Reorder the terms: -12 + 4 + 5 + 3y + -5y = 0 Combine like terms: -12 + 4 = -8 -8 + 5 + 3y + -5y = 0 Combine like terms: -8 + 5 = -3 -3 + 3y + -5y = 0 Combine like terms: 3y + -5y = -2y -3 + -2y = 0 Solving -3 + -2y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -2y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2y = 0 + 3 -2y = 0 + 3 Combine like terms: 0 + 3 = 3 -2y = 3 Divide each side by '-2'. y = -1.5 Simplifying y = -1.5
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