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Simplifying -6y + 12 = -4(2y + 1) Reorder the terms: 12 + -6y = -4(2y + 1) Reorder the terms: 12 + -6y = -4(1 + 2y) 12 + -6y = (1 * -4 + 2y * -4) 12 + -6y = (-4 + -8y) Solving 12 + -6y = -4 + -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 = -4 + -8y + 8y Combine like terms: -6y + 8y = 2y 12 + 2y = -4 + -8y + 8y Combine like terms: -8y + 8y = 0 12 + 2y = -4 + 0 12 + 2y = -4 Add '-12' to each side of the equation. 12 + -12 + 2y = -4 + -12 Combine like terms: 12 + -12 = 0 0 + 2y = -4 + -12 2y = -4 + -12 Combine like terms: -4 + -12 = -16 2y = -16 Divide each side by '2'. y = -8 Simplifying y = -8
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