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Simplifying 4(y + -4) = 2(y + 25) + -4 Reorder the terms: 4(-4 + y) = 2(y + 25) + -4 (-4 * 4 + y * 4) = 2(y + 25) + -4 (-16 + 4y) = 2(y + 25) + -4 Reorder the terms: -16 + 4y = 2(25 + y) + -4 -16 + 4y = (25 * 2 + y * 2) + -4 -16 + 4y = (50 + 2y) + -4 Reorder the terms: -16 + 4y = 50 + -4 + 2y Combine like terms: 50 + -4 = 46 -16 + 4y = 46 + 2y Solving -16 + 4y = 46 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -16 + 4y + -2y = 46 + 2y + -2y Combine like terms: 4y + -2y = 2y -16 + 2y = 46 + 2y + -2y Combine like terms: 2y + -2y = 0 -16 + 2y = 46 + 0 -16 + 2y = 46 Add '16' to each side of the equation. -16 + 16 + 2y = 46 + 16 Combine like terms: -16 + 16 = 0 0 + 2y = 46 + 16 2y = 46 + 16 Combine like terms: 46 + 16 = 62 2y = 62 Divide each side by '2'. y = 31 Simplifying y = 31
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