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Simplifying -3y + 6 = -3(2y + 7) Reorder the terms: 6 + -3y = -3(2y + 7) Reorder the terms: 6 + -3y = -3(7 + 2y) 6 + -3y = (7 * -3 + 2y * -3) 6 + -3y = (-21 + -6y) Solving 6 + -3y = -21 + -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. 6 + -3y + 6y = -21 + -6y + 6y Combine like terms: -3y + 6y = 3y 6 + 3y = -21 + -6y + 6y Combine like terms: -6y + 6y = 0 6 + 3y = -21 + 0 6 + 3y = -21 Add '-6' to each side of the equation. 6 + -6 + 3y = -21 + -6 Combine like terms: 6 + -6 = 0 0 + 3y = -21 + -6 3y = -21 + -6 Combine like terms: -21 + -6 = -27 3y = -27 Divide each side by '3'. y = -9 Simplifying y = -9
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