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Simplifying 3(-4y + 1) + 2y = -12 Reorder the terms: 3(1 + -4y) + 2y = -12 (1 * 3 + -4y * 3) + 2y = -12 (3 + -12y) + 2y = -12 Combine like terms: -12y + 2y = -10y 3 + -10y = -12 Solving 3 + -10y = -12 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -10y = -12 + -3 Combine like terms: 3 + -3 = 0 0 + -10y = -12 + -3 -10y = -12 + -3 Combine like terms: -12 + -3 = -15 -10y = -15 Divide each side by '-10'. y = 1.5 Simplifying y = 1.5
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