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Simplifying 2y + -1(5 + 4y) = 2(8 + -3y) 2y + (5 * -1 + 4y * -1) = 2(8 + -3y) 2y + (-5 + -4y) = 2(8 + -3y) Reorder the terms: -5 + 2y + -4y = 2(8 + -3y) Combine like terms: 2y + -4y = -2y -5 + -2y = 2(8 + -3y) -5 + -2y = (8 * 2 + -3y * 2) -5 + -2y = (16 + -6y) Solving -5 + -2y = 16 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. -5 + -2y + 6y = 16 + -6y + 6y Combine like terms: -2y + 6y = 4y -5 + 4y = 16 + -6y + 6y Combine like terms: -6y + 6y = 0 -5 + 4y = 16 + 0 -5 + 4y = 16 Add '5' to each side of the equation. -5 + 5 + 4y = 16 + 5 Combine like terms: -5 + 5 = 0 0 + 4y = 16 + 5 4y = 16 + 5 Combine like terms: 16 + 5 = 21 4y = 21 Divide each side by '4'. y = 5.25 Simplifying y = 5.25
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