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Simplifying 4y + 8 = -4(2y + 7) Reorder the terms: 8 + 4y = -4(2y + 7) Reorder the terms: 8 + 4y = -4(7 + 2y) 8 + 4y = (7 * -4 + 2y * -4) 8 + 4y = (-28 + -8y) Solving 8 + 4y = -28 + -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. 8 + 4y + 8y = -28 + -8y + 8y Combine like terms: 4y + 8y = 12y 8 + 12y = -28 + -8y + 8y Combine like terms: -8y + 8y = 0 8 + 12y = -28 + 0 8 + 12y = -28 Add '-8' to each side of the equation. 8 + -8 + 12y = -28 + -8 Combine like terms: 8 + -8 = 0 0 + 12y = -28 + -8 12y = -28 + -8 Combine like terms: -28 + -8 = -36 12y = -36 Divide each side by '12'. y = -3 Simplifying y = -3
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