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Simplifying -4y + 13 = 6y + -27 Reorder the terms: 13 + -4y = 6y + -27 Reorder the terms: 13 + -4y = -27 + 6y Solving 13 + -4y = -27 + 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 + -4y + -6y = -27 + 6y + -6y Combine like terms: -4y + -6y = -10y 13 + -10y = -27 + 6y + -6y Combine like terms: 6y + -6y = 0 13 + -10y = -27 + 0 13 + -10y = -27 Add '-13' to each side of the equation. 13 + -13 + -10y = -27 + -13 Combine like terms: 13 + -13 = 0 0 + -10y = -27 + -13 -10y = -27 + -13 Combine like terms: -27 + -13 = -40 -10y = -40 Divide each side by '-10'. y = 4 Simplifying y = 4
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