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Simplifying -8y + 12 = -4(y + 4) Reorder the terms: 12 + -8y = -4(y + 4) Reorder the terms: 12 + -8y = -4(4 + y) 12 + -8y = (4 * -4 + y * -4) 12 + -8y = (-16 + -4y) Solving 12 + -8y = -16 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 12 + -8y + 4y = -16 + -4y + 4y Combine like terms: -8y + 4y = -4y 12 + -4y = -16 + -4y + 4y Combine like terms: -4y + 4y = 0 12 + -4y = -16 + 0 12 + -4y = -16 Add '-12' to each side of the equation. 12 + -12 + -4y = -16 + -12 Combine like terms: 12 + -12 = 0 0 + -4y = -16 + -12 -4y = -16 + -12 Combine like terms: -16 + -12 = -28 -4y = -28 Divide each side by '-4'. y = 7 Simplifying y = 7
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