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Simplifying 7 = 3 + -4(2y + 7) + 4y Reorder the terms: 7 = 3 + -4(7 + 2y) + 4y 7 = 3 + (7 * -4 + 2y * -4) + 4y 7 = 3 + (-28 + -8y) + 4y Combine like terms: 3 + -28 = -25 7 = -25 + -8y + 4y Combine like terms: -8y + 4y = -4y 7 = -25 + -4y Solving 7 = -25 + -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. 7 + 4y = -25 + -4y + 4y Combine like terms: -4y + 4y = 0 7 + 4y = -25 + 0 7 + 4y = -25 Add '-7' to each side of the equation. 7 + -7 + 4y = -25 + -7 Combine like terms: 7 + -7 = 0 0 + 4y = -25 + -7 4y = -25 + -7 Combine like terms: -25 + -7 = -32 4y = -32 Divide each side by '4'. y = -8 Simplifying y = -8
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