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Simplifying 7y + -3(2y + 5) = 7 + -1(10 + -10y) Reorder the terms: 7y + -3(5 + 2y) = 7 + -1(10 + -10y) 7y + (5 * -3 + 2y * -3) = 7 + -1(10 + -10y) 7y + (-15 + -6y) = 7 + -1(10 + -10y) Reorder the terms: -15 + 7y + -6y = 7 + -1(10 + -10y) Combine like terms: 7y + -6y = 1y -15 + 1y = 7 + -1(10 + -10y) -15 + 1y = 7 + (10 * -1 + -10y * -1) -15 + 1y = 7 + (-10 + 10y) Combine like terms: 7 + -10 = -3 -15 + 1y = -3 + 10y Solving -15 + 1y = -3 + 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 + 1y + -10y = -3 + 10y + -10y Combine like terms: 1y + -10y = -9y -15 + -9y = -3 + 10y + -10y Combine like terms: 10y + -10y = 0 -15 + -9y = -3 + 0 -15 + -9y = -3 Add '15' to each side of the equation. -15 + 15 + -9y = -3 + 15 Combine like terms: -15 + 15 = 0 0 + -9y = -3 + 15 -9y = -3 + 15 Combine like terms: -3 + 15 = 12 -9y = 12 Divide each side by '-9'. y = -1.333333333 Simplifying y = -1.333333333
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