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Simplifying [11(y + -10)] = (4y + -5) Reorder the terms: [11(-10 + y)] = (4y + -5) [(-10 * 11 + y * 11)] = (4y + -5) [(-110 + 11y)] = (4y + -5) [-110 + 11y] = (4y + -5) Remove brackets around [-110 + 11y] -110 + 11y = (4y + -5) Reorder the terms: -110 + 11y = (-5 + 4y) Remove parenthesis around (-5 + 4y) -110 + 11y = -5 + 4y Solving -110 + 11y = -5 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -110 + 11y + -4y = -5 + 4y + -4y Combine like terms: 11y + -4y = 7y -110 + 7y = -5 + 4y + -4y Combine like terms: 4y + -4y = 0 -110 + 7y = -5 + 0 -110 + 7y = -5 Add '110' to each side of the equation. -110 + 110 + 7y = -5 + 110 Combine like terms: -110 + 110 = 0 0 + 7y = -5 + 110 7y = -5 + 110 Combine like terms: -5 + 110 = 105 7y = 105 Divide each side by '7'. y = 15 Simplifying y = 15
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