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Simplifying -11(y + 3) + 4(4y + -4) = 4(y + -6) + 14 Reorder the terms: -11(3 + y) + 4(4y + -4) = 4(y + -6) + 14 (3 * -11 + y * -11) + 4(4y + -4) = 4(y + -6) + 14 (-33 + -11y) + 4(4y + -4) = 4(y + -6) + 14 Reorder the terms: -33 + -11y + 4(-4 + 4y) = 4(y + -6) + 14 -33 + -11y + (-4 * 4 + 4y * 4) = 4(y + -6) + 14 -33 + -11y + (-16 + 16y) = 4(y + -6) + 14 Reorder the terms: -33 + -16 + -11y + 16y = 4(y + -6) + 14 Combine like terms: -33 + -16 = -49 -49 + -11y + 16y = 4(y + -6) + 14 Combine like terms: -11y + 16y = 5y -49 + 5y = 4(y + -6) + 14 Reorder the terms: -49 + 5y = 4(-6 + y) + 14 -49 + 5y = (-6 * 4 + y * 4) + 14 -49 + 5y = (-24 + 4y) + 14 Reorder the terms: -49 + 5y = -24 + 14 + 4y Combine like terms: -24 + 14 = -10 -49 + 5y = -10 + 4y Solving -49 + 5y = -10 + 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. -49 + 5y + -4y = -10 + 4y + -4y Combine like terms: 5y + -4y = 1y -49 + 1y = -10 + 4y + -4y Combine like terms: 4y + -4y = 0 -49 + 1y = -10 + 0 -49 + 1y = -10 Add '49' to each side of the equation. -49 + 49 + 1y = -10 + 49 Combine like terms: -49 + 49 = 0 0 + 1y = -10 + 49 1y = -10 + 49 Combine like terms: -10 + 49 = 39 1y = 39 Divide each side by '1'. y = 39 Simplifying y = 39
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