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Simplifying -2(17 + 2y) = 5(-4y + 6) (17 * -2 + 2y * -2) = 5(-4y + 6) (-34 + -4y) = 5(-4y + 6) Reorder the terms: -34 + -4y = 5(6 + -4y) -34 + -4y = (6 * 5 + -4y * 5) -34 + -4y = (30 + -20y) Solving -34 + -4y = 30 + -20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '20y' to each side of the equation. -34 + -4y + 20y = 30 + -20y + 20y Combine like terms: -4y + 20y = 16y -34 + 16y = 30 + -20y + 20y Combine like terms: -20y + 20y = 0 -34 + 16y = 30 + 0 -34 + 16y = 30 Add '34' to each side of the equation. -34 + 34 + 16y = 30 + 34 Combine like terms: -34 + 34 = 0 0 + 16y = 30 + 34 16y = 30 + 34 Combine like terms: 30 + 34 = 64 16y = 64 Divide each side by '16'. y = 4 Simplifying y = 4
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