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Simplifying 2(3y + -5) = -2y + 30 Reorder the terms: 2(-5 + 3y) = -2y + 30 (-5 * 2 + 3y * 2) = -2y + 30 (-10 + 6y) = -2y + 30 Reorder the terms: -10 + 6y = 30 + -2y Solving -10 + 6y = 30 + -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. -10 + 6y + 2y = 30 + -2y + 2y Combine like terms: 6y + 2y = 8y -10 + 8y = 30 + -2y + 2y Combine like terms: -2y + 2y = 0 -10 + 8y = 30 + 0 -10 + 8y = 30 Add '10' to each side of the equation. -10 + 10 + 8y = 30 + 10 Combine like terms: -10 + 10 = 0 0 + 8y = 30 + 10 8y = 30 + 10 Combine like terms: 30 + 10 = 40 8y = 40 Divide each side by '8'. y = 5 Simplifying y = 5
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