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Simplifying -11(y + 3) + 4(4y + -3) = 4(y + -4) + 13 Reorder the terms: -11(3 + y) + 4(4y + -3) = 4(y + -4) + 13 (3 * -11 + y * -11) + 4(4y + -3) = 4(y + -4) + 13 (-33 + -11y) + 4(4y + -3) = 4(y + -4) + 13 Reorder the terms: -33 + -11y + 4(-3 + 4y) = 4(y + -4) + 13 -33 + -11y + (-3 * 4 + 4y * 4) = 4(y + -4) + 13 -33 + -11y + (-12 + 16y) = 4(y + -4) + 13 Reorder the terms: -33 + -12 + -11y + 16y = 4(y + -4) + 13 Combine like terms: -33 + -12 = -45 -45 + -11y + 16y = 4(y + -4) + 13 Combine like terms: -11y + 16y = 5y -45 + 5y = 4(y + -4) + 13 Reorder the terms: -45 + 5y = 4(-4 + y) + 13 -45 + 5y = (-4 * 4 + y * 4) + 13 -45 + 5y = (-16 + 4y) + 13 Reorder the terms: -45 + 5y = -16 + 13 + 4y Combine like terms: -16 + 13 = -3 -45 + 5y = -3 + 4y Solving -45 + 5y = -3 + 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. -45 + 5y + -4y = -3 + 4y + -4y Combine like terms: 5y + -4y = 1y -45 + 1y = -3 + 4y + -4y Combine like terms: 4y + -4y = 0 -45 + 1y = -3 + 0 -45 + 1y = -3 Add '45' to each side of the equation. -45 + 45 + 1y = -3 + 45 Combine like terms: -45 + 45 = 0 0 + 1y = -3 + 45 1y = -3 + 45 Combine like terms: -3 + 45 = 42 1y = 42 Divide each side by '1'. y = 42 Simplifying y = 42
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