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Simplifying 11y + 1 = 4y + -9(-4) Reorder the terms: 1 + 11y = 4y + -9(-4) Multiply -9 * -4 1 + 11y = 4y + 36 Reorder the terms: 1 + 11y = 36 + 4y Solving 1 + 11y = 36 + 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. 1 + 11y + -4y = 36 + 4y + -4y Combine like terms: 11y + -4y = 7y 1 + 7y = 36 + 4y + -4y Combine like terms: 4y + -4y = 0 1 + 7y = 36 + 0 1 + 7y = 36 Add '-1' to each side of the equation. 1 + -1 + 7y = 36 + -1 Combine like terms: 1 + -1 = 0 0 + 7y = 36 + -1 7y = 36 + -1 Combine like terms: 36 + -1 = 35 7y = 35 Divide each side by '7'. y = 5 Simplifying y = 5
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