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Simplifying -4(1[2y + -1] * 1) + 4y = 4(1[y + 4] * 1) Reorder the terms: -4(1[-1 + 2y] * 1) + 4y = 4(1[y + 4] * 1) Reorder the terms for easier multiplication: -4(1 * 1[-1 + 2y]) + 4y = 4(1[y + 4] * 1) Multiply 1 * 1 -4(1[-1 + 2y]) + 4y = 4(1[y + 4] * 1) -4([-1 * 1 + 2y * 1]) + 4y = 4(1[y + 4] * 1) -4([-1 + 2y]) + 4y = 4(1[y + 4] * 1) (-1 * -4 + 2y * -4) + 4y = 4(1[y + 4] * 1) (4 + -8y) + 4y = 4(1[y + 4] * 1) Combine like terms: -8y + 4y = -4y 4 + -4y = 4(1[y + 4] * 1) Reorder the terms: 4 + -4y = 4(1[4 + y] * 1) Reorder the terms for easier multiplication: 4 + -4y = 4(1 * 1[4 + y]) Multiply 1 * 1 4 + -4y = 4(1[4 + y]) 4 + -4y = 4([4 * 1 + y * 1]) 4 + -4y = 4([4 + 1y]) 4 + -4y = (4 * 4 + 1y * 4) 4 + -4y = (16 + 4y) Solving 4 + -4y = 16 + 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 = 16 + 4y + -4y Combine like terms: -4y + -4y = -8y 4 + -8y = 16 + 4y + -4y Combine like terms: 4y + -4y = 0 4 + -8y = 16 + 0 4 + -8y = 16 Add '-4' to each side of the equation. 4 + -4 + -8y = 16 + -4 Combine like terms: 4 + -4 = 0 0 + -8y = 16 + -4 -8y = 16 + -4 Combine like terms: 16 + -4 = 12 -8y = 12 Divide each side by '-8'. y = -1.5 Simplifying y = -1.5
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