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Simplifying -6y + 12 = -2(4y + 1) Reorder the terms: 12 + -6y = -2(4y + 1) Reorder the terms: 12 + -6y = -2(1 + 4y) 12 + -6y = (1 * -2 + 4y * -2) 12 + -6y = (-2 + -8y) Solving 12 + -6y = -2 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 12 + -6y + 8y = -2 + -8y + 8y Combine like terms: -6y + 8y = 2y 12 + 2y = -2 + -8y + 8y Combine like terms: -8y + 8y = 0 12 + 2y = -2 + 0 12 + 2y = -2 Add '-12' to each side of the equation. 12 + -12 + 2y = -2 + -12 Combine like terms: 12 + -12 = 0 0 + 2y = -2 + -12 2y = -2 + -12 Combine like terms: -2 + -12 = -14 2y = -14 Divide each side by '2'. y = -7 Simplifying y = -7
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