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Simplifying 2y + 5(y + -4) = 4y + -2(y + -10) Reorder the terms: 2y + 5(-4 + y) = 4y + -2(y + -10) 2y + (-4 * 5 + y * 5) = 4y + -2(y + -10) 2y + (-20 + 5y) = 4y + -2(y + -10) Reorder the terms: -20 + 2y + 5y = 4y + -2(y + -10) Combine like terms: 2y + 5y = 7y -20 + 7y = 4y + -2(y + -10) Reorder the terms: -20 + 7y = 4y + -2(-10 + y) -20 + 7y = 4y + (-10 * -2 + y * -2) -20 + 7y = 4y + (20 + -2y) Reorder the terms: -20 + 7y = 20 + 4y + -2y Combine like terms: 4y + -2y = 2y -20 + 7y = 20 + 2y Solving -20 + 7y = 20 + 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. -20 + 7y + -2y = 20 + 2y + -2y Combine like terms: 7y + -2y = 5y -20 + 5y = 20 + 2y + -2y Combine like terms: 2y + -2y = 0 -20 + 5y = 20 + 0 -20 + 5y = 20 Add '20' to each side of the equation. -20 + 20 + 5y = 20 + 20 Combine like terms: -20 + 20 = 0 0 + 5y = 20 + 20 5y = 20 + 20 Combine like terms: 20 + 20 = 40 5y = 40 Divide each side by '5'. y = 8 Simplifying y = 8
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