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Simplifying 5(3y + 11) + -4y = 33 Reorder the terms: 5(11 + 3y) + -4y = 33 (11 * 5 + 3y * 5) + -4y = 33 (55 + 15y) + -4y = 33 Combine like terms: 15y + -4y = 11y 55 + 11y = 33 Solving 55 + 11y = 33 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + 11y = 33 + -55 Combine like terms: 55 + -55 = 0 0 + 11y = 33 + -55 11y = 33 + -55 Combine like terms: 33 + -55 = -22 11y = -22 Divide each side by '11'. y = -2 Simplifying y = -2
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