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Simplifying 2(y + -4) + -1(3y + -2) = -2 + -1(6y + -2) Reorder the terms: 2(-4 + y) + -1(3y + -2) = -2 + -1(6y + -2) (-4 * 2 + y * 2) + -1(3y + -2) = -2 + -1(6y + -2) (-8 + 2y) + -1(3y + -2) = -2 + -1(6y + -2) Reorder the terms: -8 + 2y + -1(-2 + 3y) = -2 + -1(6y + -2) -8 + 2y + (-2 * -1 + 3y * -1) = -2 + -1(6y + -2) -8 + 2y + (2 + -3y) = -2 + -1(6y + -2) Reorder the terms: -8 + 2 + 2y + -3y = -2 + -1(6y + -2) Combine like terms: -8 + 2 = -6 -6 + 2y + -3y = -2 + -1(6y + -2) Combine like terms: 2y + -3y = -1y -6 + -1y = -2 + -1(6y + -2) Reorder the terms: -6 + -1y = -2 + -1(-2 + 6y) -6 + -1y = -2 + (-2 * -1 + 6y * -1) -6 + -1y = -2 + (2 + -6y) Combine like terms: -2 + 2 = 0 -6 + -1y = 0 + -6y -6 + -1y = -6y Solving -6 + -1y = -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. -6 + -1y + 6y = -6y + 6y Combine like terms: -1y + 6y = 5y -6 + 5y = -6y + 6y Combine like terms: -6y + 6y = 0 -6 + 5y = 0 Add '6' to each side of the equation. -6 + 6 + 5y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 5y = 0 + 6 5y = 0 + 6 Combine like terms: 0 + 6 = 6 5y = 6 Divide each side by '5'. y = 1.2 Simplifying y = 1.2
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