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Simplifying 6y + -1(9y + 6) = 8 + -1(11y + -5) Reorder the terms: 6y + -1(6 + 9y) = 8 + -1(11y + -5) 6y + (6 * -1 + 9y * -1) = 8 + -1(11y + -5) 6y + (-6 + -9y) = 8 + -1(11y + -5) Reorder the terms: -6 + 6y + -9y = 8 + -1(11y + -5) Combine like terms: 6y + -9y = -3y -6 + -3y = 8 + -1(11y + -5) Reorder the terms: -6 + -3y = 8 + -1(-5 + 11y) -6 + -3y = 8 + (-5 * -1 + 11y * -1) -6 + -3y = 8 + (5 + -11y) Combine like terms: 8 + 5 = 13 -6 + -3y = 13 + -11y Solving -6 + -3y = 13 + -11y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '11y' to each side of the equation. -6 + -3y + 11y = 13 + -11y + 11y Combine like terms: -3y + 11y = 8y -6 + 8y = 13 + -11y + 11y Combine like terms: -11y + 11y = 0 -6 + 8y = 13 + 0 -6 + 8y = 13 Add '6' to each side of the equation. -6 + 6 + 8y = 13 + 6 Combine like terms: -6 + 6 = 0 0 + 8y = 13 + 6 8y = 13 + 6 Combine like terms: 13 + 6 = 19 8y = 19 Divide each side by '8'. y = 2.375 Simplifying y = 2.375
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