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Simplifying -6y + 6 = -3(y + 2) Reorder the terms: 6 + -6y = -3(y + 2) Reorder the terms: 6 + -6y = -3(2 + y) 6 + -6y = (2 * -3 + y * -3) 6 + -6y = (-6 + -3y) Solving 6 + -6y = -6 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 6 + -6y + 3y = -6 + -3y + 3y Combine like terms: -6y + 3y = -3y 6 + -3y = -6 + -3y + 3y Combine like terms: -3y + 3y = 0 6 + -3y = -6 + 0 6 + -3y = -6 Add '-6' to each side of the equation. 6 + -6 + -3y = -6 + -6 Combine like terms: 6 + -6 = 0 0 + -3y = -6 + -6 -3y = -6 + -6 Combine like terms: -6 + -6 = -12 -3y = -12 Divide each side by '-3'. y = 4 Simplifying y = 4
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