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Simplifying -4y + 4 = -4(2y + 7) Reorder the terms: 4 + -4y = -4(2y + 7) Reorder the terms: 4 + -4y = -4(7 + 2y) 4 + -4y = (7 * -4 + 2y * -4) 4 + -4y = (-28 + -8y) Solving 4 + -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. 4 + -4y + 8y = -28 + -8y + 8y Combine like terms: -4y + 8y = 4y 4 + 4y = -28 + -8y + 8y Combine like terms: -8y + 8y = 0 4 + 4y = -28 + 0 4 + 4y = -28 Add '-4' to each side of the equation. 4 + -4 + 4y = -28 + -4 Combine like terms: 4 + -4 = 0 0 + 4y = -28 + -4 4y = -28 + -4 Combine like terms: -28 + -4 = -32 4y = -32 Divide each side by '4'. y = -8 Simplifying y = -8
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