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Simplifying 6(y + 2) = -2(2y + -5) + 6y Reorder the terms: 6(2 + y) = -2(2y + -5) + 6y (2 * 6 + y * 6) = -2(2y + -5) + 6y (12 + 6y) = -2(2y + -5) + 6y Reorder the terms: 12 + 6y = -2(-5 + 2y) + 6y 12 + 6y = (-5 * -2 + 2y * -2) + 6y 12 + 6y = (10 + -4y) + 6y Combine like terms: -4y + 6y = 2y 12 + 6y = 10 + 2y Solving 12 + 6y = 10 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 12 + 6y + -2y = 10 + 2y + -2y Combine like terms: 6y + -2y = 4y 12 + 4y = 10 + 2y + -2y Combine like terms: 2y + -2y = 0 12 + 4y = 10 + 0 12 + 4y = 10 Add '-12' to each side of the equation. 12 + -12 + 4y = 10 + -12 Combine like terms: 12 + -12 = 0 0 + 4y = 10 + -12 4y = 10 + -12 Combine like terms: 10 + -12 = -2 4y = -2 Divide each side by '4'. y = -0.5 Simplifying y = -0.5
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