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Simplifying 6 + -1(3y + -6) = 5 + -4y Reorder the terms: 6 + -1(-6 + 3y) = 5 + -4y 6 + (-6 * -1 + 3y * -1) = 5 + -4y 6 + (6 + -3y) = 5 + -4y Combine like terms: 6 + 6 = 12 12 + -3y = 5 + -4y Solving 12 + -3y = 5 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 12 + -3y + 4y = 5 + -4y + 4y Combine like terms: -3y + 4y = 1y 12 + 1y = 5 + -4y + 4y Combine like terms: -4y + 4y = 0 12 + 1y = 5 + 0 12 + 1y = 5 Add '-12' to each side of the equation. 12 + -12 + 1y = 5 + -12 Combine like terms: 12 + -12 = 0 0 + 1y = 5 + -12 1y = 5 + -12 Combine like terms: 5 + -12 = -7 1y = -7 Divide each side by '1'. y = -7 Simplifying y = -7
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