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Simplifying 13(2y + -3) = 2(4y + -19) Reorder the terms: 13(-3 + 2y) = 2(4y + -19) (-3 * 13 + 2y * 13) = 2(4y + -19) (-39 + 26y) = 2(4y + -19) Reorder the terms: -39 + 26y = 2(-19 + 4y) -39 + 26y = (-19 * 2 + 4y * 2) -39 + 26y = (-38 + 8y) Solving -39 + 26y = -38 + 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. -39 + 26y + -8y = -38 + 8y + -8y Combine like terms: 26y + -8y = 18y -39 + 18y = -38 + 8y + -8y Combine like terms: 8y + -8y = 0 -39 + 18y = -38 + 0 -39 + 18y = -38 Add '39' to each side of the equation. -39 + 39 + 18y = -38 + 39 Combine like terms: -39 + 39 = 0 0 + 18y = -38 + 39 18y = -38 + 39 Combine like terms: -38 + 39 = 1 18y = 1 Divide each side by '18'. y = 0.05555555556 Simplifying y = 0.05555555556
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