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Simplifying 6(y + -5) = 4(4 + y) Reorder the terms: 6(-5 + y) = 4(4 + y) (-5 * 6 + y * 6) = 4(4 + y) (-30 + 6y) = 4(4 + y) -30 + 6y = (4 * 4 + y * 4) -30 + 6y = (16 + 4y) Solving -30 + 6y = 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. -30 + 6y + -4y = 16 + 4y + -4y Combine like terms: 6y + -4y = 2y -30 + 2y = 16 + 4y + -4y Combine like terms: 4y + -4y = 0 -30 + 2y = 16 + 0 -30 + 2y = 16 Add '30' to each side of the equation. -30 + 30 + 2y = 16 + 30 Combine like terms: -30 + 30 = 0 0 + 2y = 16 + 30 2y = 16 + 30 Combine like terms: 16 + 30 = 46 2y = 46 Divide each side by '2'. y = 23 Simplifying y = 23
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