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Simplifying -4y + 12 = -2(4y + 10) Reorder the terms: 12 + -4y = -2(4y + 10) Reorder the terms: 12 + -4y = -2(10 + 4y) 12 + -4y = (10 * -2 + 4y * -2) 12 + -4y = (-20 + -8y) Solving 12 + -4y = -20 + -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 + -4y + 8y = -20 + -8y + 8y Combine like terms: -4y + 8y = 4y 12 + 4y = -20 + -8y + 8y Combine like terms: -8y + 8y = 0 12 + 4y = -20 + 0 12 + 4y = -20 Add '-12' to each side of the equation. 12 + -12 + 4y = -20 + -12 Combine like terms: 12 + -12 = 0 0 + 4y = -20 + -12 4y = -20 + -12 Combine like terms: -20 + -12 = -32 4y = -32 Divide each side by '4'. y = -8 Simplifying y = -8
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