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Simplifying 3(2y + -1) + -2(3y + 4) = 11y Reorder the terms: 3(-1 + 2y) + -2(3y + 4) = 11y (-1 * 3 + 2y * 3) + -2(3y + 4) = 11y (-3 + 6y) + -2(3y + 4) = 11y Reorder the terms: -3 + 6y + -2(4 + 3y) = 11y -3 + 6y + (4 * -2 + 3y * -2) = 11y -3 + 6y + (-8 + -6y) = 11y Reorder the terms: -3 + -8 + 6y + -6y = 11y Combine like terms: -3 + -8 = -11 -11 + 6y + -6y = 11y Combine like terms: 6y + -6y = 0 -11 + 0 = 11y -11 = 11y Solving -11 = 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. -11 + -11y = 11y + -11y Combine like terms: 11y + -11y = 0 -11 + -11y = 0 Add '11' to each side of the equation. -11 + 11 + -11y = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -11y = 0 + 11 -11y = 0 + 11 Combine like terms: 0 + 11 = 11 -11y = 11 Divide each side by '-11'. y = -1 Simplifying y = -1
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