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Simplifying 4y + 17 = -7(y + 7) Reorder the terms: 17 + 4y = -7(y + 7) Reorder the terms: 17 + 4y = -7(7 + y) 17 + 4y = (7 * -7 + y * -7) 17 + 4y = (-49 + -7y) Solving 17 + 4y = -49 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. 17 + 4y + 7y = -49 + -7y + 7y Combine like terms: 4y + 7y = 11y 17 + 11y = -49 + -7y + 7y Combine like terms: -7y + 7y = 0 17 + 11y = -49 + 0 17 + 11y = -49 Add '-17' to each side of the equation. 17 + -17 + 11y = -49 + -17 Combine like terms: 17 + -17 = 0 0 + 11y = -49 + -17 11y = -49 + -17 Combine like terms: -49 + -17 = -66 11y = -66 Divide each side by '11'. y = -6 Simplifying y = -6
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