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Simplifying 11(y + -4) + 10(5 + -3y) + -3(4 + -3y) = -6 Reorder the terms: 11(-4 + y) + 10(5 + -3y) + -3(4 + -3y) = -6 (-4 * 11 + y * 11) + 10(5 + -3y) + -3(4 + -3y) = -6 (-44 + 11y) + 10(5 + -3y) + -3(4 + -3y) = -6 -44 + 11y + (5 * 10 + -3y * 10) + -3(4 + -3y) = -6 -44 + 11y + (50 + -30y) + -3(4 + -3y) = -6 -44 + 11y + 50 + -30y + (4 * -3 + -3y * -3) = -6 -44 + 11y + 50 + -30y + (-12 + 9y) = -6 Reorder the terms: -44 + 50 + -12 + 11y + -30y + 9y = -6 Combine like terms: -44 + 50 = 6 6 + -12 + 11y + -30y + 9y = -6 Combine like terms: 6 + -12 = -6 -6 + 11y + -30y + 9y = -6 Combine like terms: 11y + -30y = -19y -6 + -19y + 9y = -6 Combine like terms: -19y + 9y = -10y -6 + -10y = -6 Add '6' to each side of the equation. -6 + 6 + -10y = -6 + 6 Combine like terms: -6 + 6 = 0 0 + -10y = -6 + 6 -10y = -6 + 6 Combine like terms: -6 + 6 = 0 -10y = 0 Solving -10y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Divide each side by '-10'. y = 0.0 Simplifying y = 0.0
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