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Simplifying 2y + -1(y + 10) = 5y + 30 Reorder the terms: 2y + -1(10 + y) = 5y + 30 2y + (10 * -1 + y * -1) = 5y + 30 2y + (-10 + -1y) = 5y + 30 Reorder the terms: -10 + 2y + -1y = 5y + 30 Combine like terms: 2y + -1y = 1y -10 + 1y = 5y + 30 Reorder the terms: -10 + 1y = 30 + 5y Solving -10 + 1y = 30 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -10 + 1y + -5y = 30 + 5y + -5y Combine like terms: 1y + -5y = -4y -10 + -4y = 30 + 5y + -5y Combine like terms: 5y + -5y = 0 -10 + -4y = 30 + 0 -10 + -4y = 30 Add '10' to each side of the equation. -10 + 10 + -4y = 30 + 10 Combine like terms: -10 + 10 = 0 0 + -4y = 30 + 10 -4y = 30 + 10 Combine like terms: 30 + 10 = 40 -4y = 40 Divide each side by '-4'. y = -10 Simplifying y = -10
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