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Simplifying -11(y + 3) + 4(4y + -6) = 4(y + -3) + 11 Reorder the terms: -11(3 + y) + 4(4y + -6) = 4(y + -3) + 11 (3 * -11 + y * -11) + 4(4y + -6) = 4(y + -3) + 11 (-33 + -11y) + 4(4y + -6) = 4(y + -3) + 11 Reorder the terms: -33 + -11y + 4(-6 + 4y) = 4(y + -3) + 11 -33 + -11y + (-6 * 4 + 4y * 4) = 4(y + -3) + 11 -33 + -11y + (-24 + 16y) = 4(y + -3) + 11 Reorder the terms: -33 + -24 + -11y + 16y = 4(y + -3) + 11 Combine like terms: -33 + -24 = -57 -57 + -11y + 16y = 4(y + -3) + 11 Combine like terms: -11y + 16y = 5y -57 + 5y = 4(y + -3) + 11 Reorder the terms: -57 + 5y = 4(-3 + y) + 11 -57 + 5y = (-3 * 4 + y * 4) + 11 -57 + 5y = (-12 + 4y) + 11 Reorder the terms: -57 + 5y = -12 + 11 + 4y Combine like terms: -12 + 11 = -1 -57 + 5y = -1 + 4y Solving -57 + 5y = -1 + 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. -57 + 5y + -4y = -1 + 4y + -4y Combine like terms: 5y + -4y = 1y -57 + 1y = -1 + 4y + -4y Combine like terms: 4y + -4y = 0 -57 + 1y = -1 + 0 -57 + 1y = -1 Add '57' to each side of the equation. -57 + 57 + 1y = -1 + 57 Combine like terms: -57 + 57 = 0 0 + 1y = -1 + 57 1y = -1 + 57 Combine like terms: -1 + 57 = 56 1y = 56 Divide each side by '1'. y = 56 Simplifying y = 56
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