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Simplifying -2(y + 5) = -4(5y + -2) + 6y Reorder the terms: -2(5 + y) = -4(5y + -2) + 6y (5 * -2 + y * -2) = -4(5y + -2) + 6y (-10 + -2y) = -4(5y + -2) + 6y Reorder the terms: -10 + -2y = -4(-2 + 5y) + 6y -10 + -2y = (-2 * -4 + 5y * -4) + 6y -10 + -2y = (8 + -20y) + 6y Combine like terms: -20y + 6y = -14y -10 + -2y = 8 + -14y Solving -10 + -2y = 8 + -14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '14y' to each side of the equation. -10 + -2y + 14y = 8 + -14y + 14y Combine like terms: -2y + 14y = 12y -10 + 12y = 8 + -14y + 14y Combine like terms: -14y + 14y = 0 -10 + 12y = 8 + 0 -10 + 12y = 8 Add '10' to each side of the equation. -10 + 10 + 12y = 8 + 10 Combine like terms: -10 + 10 = 0 0 + 12y = 8 + 10 12y = 8 + 10 Combine like terms: 8 + 10 = 18 12y = 18 Divide each side by '12'. y = 1.5 Simplifying y = 1.5
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