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Simplifying 6 + -1(y + -6) = 3(y + 3) + -7(y + 3) Reorder the terms: 6 + -1(-6 + y) = 3(y + 3) + -7(y + 3) 6 + (-6 * -1 + y * -1) = 3(y + 3) + -7(y + 3) 6 + (6 + -1y) = 3(y + 3) + -7(y + 3) Combine like terms: 6 + 6 = 12 12 + -1y = 3(y + 3) + -7(y + 3) Reorder the terms: 12 + -1y = 3(3 + y) + -7(y + 3) 12 + -1y = (3 * 3 + y * 3) + -7(y + 3) 12 + -1y = (9 + 3y) + -7(y + 3) Reorder the terms: 12 + -1y = 9 + 3y + -7(3 + y) 12 + -1y = 9 + 3y + (3 * -7 + y * -7) 12 + -1y = 9 + 3y + (-21 + -7y) Reorder the terms: 12 + -1y = 9 + -21 + 3y + -7y Combine like terms: 9 + -21 = -12 12 + -1y = -12 + 3y + -7y Combine like terms: 3y + -7y = -4y 12 + -1y = -12 + -4y Solving 12 + -1y = -12 + -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 + -1y + 4y = -12 + -4y + 4y Combine like terms: -1y + 4y = 3y 12 + 3y = -12 + -4y + 4y Combine like terms: -4y + 4y = 0 12 + 3y = -12 + 0 12 + 3y = -12 Add '-12' to each side of the equation. 12 + -12 + 3y = -12 + -12 Combine like terms: 12 + -12 = 0 0 + 3y = -12 + -12 3y = -12 + -12 Combine like terms: -12 + -12 = -24 3y = -24 Divide each side by '3'. y = -8 Simplifying y = -8
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