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Simplifying 5(2y + -1) = 2(y + 3) Reorder the terms: 5(-1 + 2y) = 2(y + 3) (-1 * 5 + 2y * 5) = 2(y + 3) (-5 + 10y) = 2(y + 3) Reorder the terms: -5 + 10y = 2(3 + y) -5 + 10y = (3 * 2 + y * 2) -5 + 10y = (6 + 2y) Solving -5 + 10y = 6 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -5 + 10y + -2y = 6 + 2y + -2y Combine like terms: 10y + -2y = 8y -5 + 8y = 6 + 2y + -2y Combine like terms: 2y + -2y = 0 -5 + 8y = 6 + 0 -5 + 8y = 6 Add '5' to each side of the equation. -5 + 5 + 8y = 6 + 5 Combine like terms: -5 + 5 = 0 0 + 8y = 6 + 5 8y = 6 + 5 Combine like terms: 6 + 5 = 11 8y = 11 Divide each side by '8'. y = 1.375 Simplifying y = 1.375
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