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Simplifying -3y + 12 = 3(2y + -2) Reorder the terms: 12 + -3y = 3(2y + -2) Reorder the terms: 12 + -3y = 3(-2 + 2y) 12 + -3y = (-2 * 3 + 2y * 3) 12 + -3y = (-6 + 6y) Solving 12 + -3y = -6 + 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. 12 + -3y + -6y = -6 + 6y + -6y Combine like terms: -3y + -6y = -9y 12 + -9y = -6 + 6y + -6y Combine like terms: 6y + -6y = 0 12 + -9y = -6 + 0 12 + -9y = -6 Add '-12' to each side of the equation. 12 + -12 + -9y = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -9y = -6 + -12 -9y = -6 + -12 Combine like terms: -6 + -12 = -18 -9y = -18 Divide each side by '-9'. y = 2 Simplifying y = 2
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