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Simplifying -11(y + 1) + 5(3y + -6) = 3(y + 3) + 13 Reorder the terms: -11(1 + y) + 5(3y + -6) = 3(y + 3) + 13 (1 * -11 + y * -11) + 5(3y + -6) = 3(y + 3) + 13 (-11 + -11y) + 5(3y + -6) = 3(y + 3) + 13 Reorder the terms: -11 + -11y + 5(-6 + 3y) = 3(y + 3) + 13 -11 + -11y + (-6 * 5 + 3y * 5) = 3(y + 3) + 13 -11 + -11y + (-30 + 15y) = 3(y + 3) + 13 Reorder the terms: -11 + -30 + -11y + 15y = 3(y + 3) + 13 Combine like terms: -11 + -30 = -41 -41 + -11y + 15y = 3(y + 3) + 13 Combine like terms: -11y + 15y = 4y -41 + 4y = 3(y + 3) + 13 Reorder the terms: -41 + 4y = 3(3 + y) + 13 -41 + 4y = (3 * 3 + y * 3) + 13 -41 + 4y = (9 + 3y) + 13 Reorder the terms: -41 + 4y = 9 + 13 + 3y Combine like terms: 9 + 13 = 22 -41 + 4y = 22 + 3y Solving -41 + 4y = 22 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -41 + 4y + -3y = 22 + 3y + -3y Combine like terms: 4y + -3y = 1y -41 + 1y = 22 + 3y + -3y Combine like terms: 3y + -3y = 0 -41 + 1y = 22 + 0 -41 + 1y = 22 Add '41' to each side of the equation. -41 + 41 + 1y = 22 + 41 Combine like terms: -41 + 41 = 0 0 + 1y = 22 + 41 1y = 22 + 41 Combine like terms: 22 + 41 = 63 1y = 63 Divide each side by '1'. y = 63 Simplifying y = 63
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