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Simplifying -3y + 3(3y + -2) = -6 + -6(1 + -2y) Reorder the terms: -3y + 3(-2 + 3y) = -6 + -6(1 + -2y) -3y + (-2 * 3 + 3y * 3) = -6 + -6(1 + -2y) -3y + (-6 + 9y) = -6 + -6(1 + -2y) Reorder the terms: -6 + -3y + 9y = -6 + -6(1 + -2y) Combine like terms: -3y + 9y = 6y -6 + 6y = -6 + -6(1 + -2y) -6 + 6y = -6 + (1 * -6 + -2y * -6) -6 + 6y = -6 + (-6 + 12y) Combine like terms: -6 + -6 = -12 -6 + 6y = -12 + 12y Solving -6 + 6y = -12 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. -6 + 6y + -12y = -12 + 12y + -12y Combine like terms: 6y + -12y = -6y -6 + -6y = -12 + 12y + -12y Combine like terms: 12y + -12y = 0 -6 + -6y = -12 + 0 -6 + -6y = -12 Add '6' to each side of the equation. -6 + 6 + -6y = -12 + 6 Combine like terms: -6 + 6 = 0 0 + -6y = -12 + 6 -6y = -12 + 6 Combine like terms: -12 + 6 = -6 -6y = -6 Divide each side by '-6'. y = 1 Simplifying y = 1
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