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Simplifying 11y + -1(2 + -4y) = 13 + 2(y + -1) 11y + (2 * -1 + -4y * -1) = 13 + 2(y + -1) 11y + (-2 + 4y) = 13 + 2(y + -1) Reorder the terms: -2 + 11y + 4y = 13 + 2(y + -1) Combine like terms: 11y + 4y = 15y -2 + 15y = 13 + 2(y + -1) Reorder the terms: -2 + 15y = 13 + 2(-1 + y) -2 + 15y = 13 + (-1 * 2 + y * 2) -2 + 15y = 13 + (-2 + 2y) Combine like terms: 13 + -2 = 11 -2 + 15y = 11 + 2y Solving -2 + 15y = 11 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -2 + 15y + -2y = 11 + 2y + -2y Combine like terms: 15y + -2y = 13y -2 + 13y = 11 + 2y + -2y Combine like terms: 2y + -2y = 0 -2 + 13y = 11 + 0 -2 + 13y = 11 Add '2' to each side of the equation. -2 + 2 + 13y = 11 + 2 Combine like terms: -2 + 2 = 0 0 + 13y = 11 + 2 13y = 11 + 2 Combine like terms: 11 + 2 = 13 13y = 13 Divide each side by '13'. y = 1 Simplifying y = 1
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