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Simplifying 13(2y + -5) = 2(4y + -32) Reorder the terms: 13(-5 + 2y) = 2(4y + -32) (-5 * 13 + 2y * 13) = 2(4y + -32) (-65 + 26y) = 2(4y + -32) Reorder the terms: -65 + 26y = 2(-32 + 4y) -65 + 26y = (-32 * 2 + 4y * 2) -65 + 26y = (-64 + 8y) Solving -65 + 26y = -64 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -65 + 26y + -8y = -64 + 8y + -8y Combine like terms: 26y + -8y = 18y -65 + 18y = -64 + 8y + -8y Combine like terms: 8y + -8y = 0 -65 + 18y = -64 + 0 -65 + 18y = -64 Add '65' to each side of the equation. -65 + 65 + 18y = -64 + 65 Combine like terms: -65 + 65 = 0 0 + 18y = -64 + 65 18y = -64 + 65 Combine like terms: -64 + 65 = 1 18y = 1 Divide each side by '18'. y = 0.05555555556 Simplifying y = 0.05555555556
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