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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 = -3y -12 + -3y = -6 + 6y + -6y Combine like terms: 6y + -6y = 0 -12 + -3y = -6 + 0 -12 + -3y = -6 Add '12' to each side of the equation. -12 + 12 + -3y = -6 + 12 Combine like terms: -12 + 12 = 0 0 + -3y = -6 + 12 -3y = -6 + 12 Combine like terms: -6 + 12 = 6 -3y = 6 Divide each side by '-3'. y = -2 Simplifying y = -2
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