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Simplifying 2y + -1(3y + 4) + 5(y + -2) + 6y = 0 Reorder the terms: 2y + -1(4 + 3y) + 5(y + -2) + 6y = 0 2y + (4 * -1 + 3y * -1) + 5(y + -2) + 6y = 0 2y + (-4 + -3y) + 5(y + -2) + 6y = 0 Reorder the terms: 2y + -4 + -3y + 5(-2 + y) + 6y = 0 2y + -4 + -3y + (-2 * 5 + y * 5) + 6y = 0 2y + -4 + -3y + (-10 + 5y) + 6y = 0 Reorder the terms: -4 + -10 + 2y + -3y + 5y + 6y = 0 Combine like terms: -4 + -10 = -14 -14 + 2y + -3y + 5y + 6y = 0 Combine like terms: 2y + -3y = -1y -14 + -1y + 5y + 6y = 0 Combine like terms: -1y + 5y = 4y -14 + 4y + 6y = 0 Combine like terms: 4y + 6y = 10y -14 + 10y = 0 Solving -14 + 10y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 10y = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 10y = 0 + 14 10y = 0 + 14 Combine like terms: 0 + 14 = 14 10y = 14 Divide each side by '10'. y = 1.4 Simplifying y = 1.4
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