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Simplifying 6y + -17 = 13(y + -1) + -4 Reorder the terms: -17 + 6y = 13(y + -1) + -4 Reorder the terms: -17 + 6y = 13(-1 + y) + -4 -17 + 6y = (-1 * 13 + y * 13) + -4 -17 + 6y = (-13 + 13y) + -4 Reorder the terms: -17 + 6y = -13 + -4 + 13y Combine like terms: -13 + -4 = -17 -17 + 6y = -17 + 13y Add '17' to each side of the equation. -17 + 17 + 6y = -17 + 17 + 13y Combine like terms: -17 + 17 = 0 0 + 6y = -17 + 17 + 13y 6y = -17 + 17 + 13y Combine like terms: -17 + 17 = 0 6y = 0 + 13y 6y = 13y Solving 6y = 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. 6y + -13y = 13y + -13y Combine like terms: 6y + -13y = -7y -7y = 13y + -13y Combine like terms: 13y + -13y = 0 -7y = 0 Divide each side by '-7'. y = 0 Simplifying y = 0
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