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Simplifying 2y + -5(y + -3) = 2(y + -10) Reorder the terms: 2y + -5(-3 + y) = 2(y + -10) 2y + (-3 * -5 + y * -5) = 2(y + -10) 2y + (15 + -5y) = 2(y + -10) Reorder the terms: 15 + 2y + -5y = 2(y + -10) Combine like terms: 2y + -5y = -3y 15 + -3y = 2(y + -10) Reorder the terms: 15 + -3y = 2(-10 + y) 15 + -3y = (-10 * 2 + y * 2) 15 + -3y = (-20 + 2y) Solving 15 + -3y = -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. 15 + -3y + -2y = -20 + 2y + -2y Combine like terms: -3y + -2y = -5y 15 + -5y = -20 + 2y + -2y Combine like terms: 2y + -2y = 0 15 + -5y = -20 + 0 15 + -5y = -20 Add '-15' to each side of the equation. 15 + -15 + -5y = -20 + -15 Combine like terms: 15 + -15 = 0 0 + -5y = -20 + -15 -5y = -20 + -15 Combine like terms: -20 + -15 = -35 -5y = -35 Divide each side by '-5'. y = 7 Simplifying y = 7
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