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Simplifying 2(5y + -2) + -22 = 11y + -1(3y + 6) Reorder the terms: 2(-2 + 5y) + -22 = 11y + -1(3y + 6) (-2 * 2 + 5y * 2) + -22 = 11y + -1(3y + 6) (-4 + 10y) + -22 = 11y + -1(3y + 6) Reorder the terms: -4 + -22 + 10y = 11y + -1(3y + 6) Combine like terms: -4 + -22 = -26 -26 + 10y = 11y + -1(3y + 6) Reorder the terms: -26 + 10y = 11y + -1(6 + 3y) -26 + 10y = 11y + (6 * -1 + 3y * -1) -26 + 10y = 11y + (-6 + -3y) Reorder the terms: -26 + 10y = -6 + 11y + -3y Combine like terms: 11y + -3y = 8y -26 + 10y = -6 + 8y Solving -26 + 10y = -6 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -26 + 10y + -8y = -6 + 8y + -8y Combine like terms: 10y + -8y = 2y -26 + 2y = -6 + 8y + -8y Combine like terms: 8y + -8y = 0 -26 + 2y = -6 + 0 -26 + 2y = -6 Add '26' to each side of the equation. -26 + 26 + 2y = -6 + 26 Combine like terms: -26 + 26 = 0 0 + 2y = -6 + 26 2y = -6 + 26 Combine like terms: -6 + 26 = 20 2y = 20 Divide each side by '2'. y = 10 Simplifying y = 10
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