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Simplifying 4y + 6 + 7(y + 1) = 6y + -6 Reorder the terms: 4y + 6 + 7(1 + y) = 6y + -6 4y + 6 + (1 * 7 + y * 7) = 6y + -6 4y + 6 + (7 + 7y) = 6y + -6 Reorder the terms: 6 + 7 + 4y + 7y = 6y + -6 Combine like terms: 6 + 7 = 13 13 + 4y + 7y = 6y + -6 Combine like terms: 4y + 7y = 11y 13 + 11y = 6y + -6 Reorder the terms: 13 + 11y = -6 + 6y Solving 13 + 11y = -6 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 13 + 11y + -6y = -6 + 6y + -6y Combine like terms: 11y + -6y = 5y 13 + 5y = -6 + 6y + -6y Combine like terms: 6y + -6y = 0 13 + 5y = -6 + 0 13 + 5y = -6 Add '-13' to each side of the equation. 13 + -13 + 5y = -6 + -13 Combine like terms: 13 + -13 = 0 0 + 5y = -6 + -13 5y = -6 + -13 Combine like terms: -6 + -13 = -19 5y = -19 Divide each side by '5'. y = -3.8 Simplifying y = -3.8
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