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Simplifying 2(2y + 2) = -4(y + -1) + -40 Reorder the terms: 2(2 + 2y) = -4(y + -1) + -40 (2 * 2 + 2y * 2) = -4(y + -1) + -40 (4 + 4y) = -4(y + -1) + -40 Reorder the terms: 4 + 4y = -4(-1 + y) + -40 4 + 4y = (-1 * -4 + y * -4) + -40 4 + 4y = (4 + -4y) + -40 Reorder the terms: 4 + 4y = 4 + -40 + -4y Combine like terms: 4 + -40 = -36 4 + 4y = -36 + -4y Solving 4 + 4y = -36 + -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. 4 + 4y + 4y = -36 + -4y + 4y Combine like terms: 4y + 4y = 8y 4 + 8y = -36 + -4y + 4y Combine like terms: -4y + 4y = 0 4 + 8y = -36 + 0 4 + 8y = -36 Add '-4' to each side of the equation. 4 + -4 + 8y = -36 + -4 Combine like terms: 4 + -4 = 0 0 + 8y = -36 + -4 8y = -36 + -4 Combine like terms: -36 + -4 = -40 8y = -40 Divide each side by '8'. y = -5 Simplifying y = -5
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