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Simplifying 2y + -1(7 + -4y) = 10y + -1(y + -2) 2y + (7 * -1 + -4y * -1) = 10y + -1(y + -2) 2y + (-7 + 4y) = 10y + -1(y + -2) Reorder the terms: -7 + 2y + 4y = 10y + -1(y + -2) Combine like terms: 2y + 4y = 6y -7 + 6y = 10y + -1(y + -2) Reorder the terms: -7 + 6y = 10y + -1(-2 + y) -7 + 6y = 10y + (-2 * -1 + y * -1) -7 + 6y = 10y + (2 + -1y) Reorder the terms: -7 + 6y = 2 + 10y + -1y Combine like terms: 10y + -1y = 9y -7 + 6y = 2 + 9y Solving -7 + 6y = 2 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -7 + 6y + -9y = 2 + 9y + -9y Combine like terms: 6y + -9y = -3y -7 + -3y = 2 + 9y + -9y Combine like terms: 9y + -9y = 0 -7 + -3y = 2 + 0 -7 + -3y = 2 Add '7' to each side of the equation. -7 + 7 + -3y = 2 + 7 Combine like terms: -7 + 7 = 0 0 + -3y = 2 + 7 -3y = 2 + 7 Combine like terms: 2 + 7 = 9 -3y = 9 Divide each side by '-3'. y = -3 Simplifying y = -3
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