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Simplifying -7y + 6 + 7(y + 1) = 6y + 4 Reorder the terms: -7y + 6 + 7(1 + y) = 6y + 4 -7y + 6 + (1 * 7 + y * 7) = 6y + 4 -7y + 6 + (7 + 7y) = 6y + 4 Reorder the terms: 6 + 7 + -7y + 7y = 6y + 4 Combine like terms: 6 + 7 = 13 13 + -7y + 7y = 6y + 4 Combine like terms: -7y + 7y = 0 13 + 0 = 6y + 4 13 = 6y + 4 Reorder the terms: 13 = 4 + 6y Solving 13 = 4 + 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 + -6y = 4 + 6y + -6y Combine like terms: 6y + -6y = 0 13 + -6y = 4 + 0 13 + -6y = 4 Add '-13' to each side of the equation. 13 + -13 + -6y = 4 + -13 Combine like terms: 13 + -13 = 0 0 + -6y = 4 + -13 -6y = 4 + -13 Combine like terms: 4 + -13 = -9 -6y = -9 Divide each side by '-6'. y = 1.5 Simplifying y = 1.5
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