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Simplifying 11y + 7(3y + -11) = 19 Reorder the terms: 11y + 7(-11 + 3y) = 19 11y + (-11 * 7 + 3y * 7) = 19 11y + (-77 + 21y) = 19 Reorder the terms: -77 + 11y + 21y = 19 Combine like terms: 11y + 21y = 32y -77 + 32y = 19 Solving -77 + 32y = 19 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '77' to each side of the equation. -77 + 77 + 32y = 19 + 77 Combine like terms: -77 + 77 = 0 0 + 32y = 19 + 77 32y = 19 + 77 Combine like terms: 19 + 77 = 96 32y = 96 Divide each side by '32'. y = 3 Simplifying y = 3
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