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Simplifying 5(y + -3) = 2(5y + 10) Reorder the terms: 5(-3 + y) = 2(5y + 10) (-3 * 5 + y * 5) = 2(5y + 10) (-15 + 5y) = 2(5y + 10) Reorder the terms: -15 + 5y = 2(10 + 5y) -15 + 5y = (10 * 2 + 5y * 2) -15 + 5y = (20 + 10y) Solving -15 + 5y = 20 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. -15 + 5y + -10y = 20 + 10y + -10y Combine like terms: 5y + -10y = -5y -15 + -5y = 20 + 10y + -10y Combine like terms: 10y + -10y = 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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