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Simplifying 4(2y + -4) = 7(y + 4) + -44 Reorder the terms: 4(-4 + 2y) = 7(y + 4) + -44 (-4 * 4 + 2y * 4) = 7(y + 4) + -44 (-16 + 8y) = 7(y + 4) + -44 Reorder the terms: -16 + 8y = 7(4 + y) + -44 -16 + 8y = (4 * 7 + y * 7) + -44 -16 + 8y = (28 + 7y) + -44 Reorder the terms: -16 + 8y = 28 + -44 + 7y Combine like terms: 28 + -44 = -16 -16 + 8y = -16 + 7y Add '16' to each side of the equation. -16 + 16 + 8y = -16 + 16 + 7y Combine like terms: -16 + 16 = 0 0 + 8y = -16 + 16 + 7y 8y = -16 + 16 + 7y Combine like terms: -16 + 16 = 0 8y = 0 + 7y 8y = 7y Solving 8y = 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 8y + -7y = 7y + -7y Combine like terms: 8y + -7y = 1y 1y = 7y + -7y Combine like terms: 7y + -7y = 0 1y = 0 Divide each side by '1'. y = 0 Simplifying y = 0
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