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Simplifying -3y + 12 = -3(2y + 5) Reorder the terms: 12 + -3y = -3(2y + 5) Reorder the terms: 12 + -3y = -3(5 + 2y) 12 + -3y = (5 * -3 + 2y * -3) 12 + -3y = (-15 + -6y) Solving 12 + -3y = -15 + -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 = -15 + -6y + 6y Combine like terms: -3y + 6y = 3y 12 + 3y = -15 + -6y + 6y Combine like terms: -6y + 6y = 0 12 + 3y = -15 + 0 12 + 3y = -15 Add '-12' to each side of the equation. 12 + -12 + 3y = -15 + -12 Combine like terms: 12 + -12 = 0 0 + 3y = -15 + -12 3y = -15 + -12 Combine like terms: -15 + -12 = -27 3y = -27 Divide each side by '3'. y = -9 Simplifying y = -9
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