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Simplifying 4 + -1(7y + -5) = 6y + -4 Reorder the terms: 4 + -1(-5 + 7y) = 6y + -4 4 + (-5 * -1 + 7y * -1) = 6y + -4 4 + (5 + -7y) = 6y + -4 Combine like terms: 4 + 5 = 9 9 + -7y = 6y + -4 Reorder the terms: 9 + -7y = -4 + 6y Solving 9 + -7y = -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. 9 + -7y + -6y = -4 + 6y + -6y Combine like terms: -7y + -6y = -13y 9 + -13y = -4 + 6y + -6y Combine like terms: 6y + -6y = 0 9 + -13y = -4 + 0 9 + -13y = -4 Add '-9' to each side of the equation. 9 + -9 + -13y = -4 + -9 Combine like terms: 9 + -9 = 0 0 + -13y = -4 + -9 -13y = -4 + -9 Combine like terms: -4 + -9 = -13 -13y = -13 Divide each side by '-13'. y = 1 Simplifying y = 1
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