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Simplifying -2(y + -4) + 5(y + 2) = 6y + -12 Reorder the terms: -2(-4 + y) + 5(y + 2) = 6y + -12 (-4 * -2 + y * -2) + 5(y + 2) = 6y + -12 (8 + -2y) + 5(y + 2) = 6y + -12 Reorder the terms: 8 + -2y + 5(2 + y) = 6y + -12 8 + -2y + (2 * 5 + y * 5) = 6y + -12 8 + -2y + (10 + 5y) = 6y + -12 Reorder the terms: 8 + 10 + -2y + 5y = 6y + -12 Combine like terms: 8 + 10 = 18 18 + -2y + 5y = 6y + -12 Combine like terms: -2y + 5y = 3y 18 + 3y = 6y + -12 Reorder the terms: 18 + 3y = -12 + 6y Solving 18 + 3y = -12 + 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. 18 + 3y + -6y = -12 + 6y + -6y Combine like terms: 3y + -6y = -3y 18 + -3y = -12 + 6y + -6y Combine like terms: 6y + -6y = 0 18 + -3y = -12 + 0 18 + -3y = -12 Add '-18' to each side of the equation. 18 + -18 + -3y = -12 + -18 Combine like terms: 18 + -18 = 0 0 + -3y = -12 + -18 -3y = -12 + -18 Combine like terms: -12 + -18 = -30 -3y = -30 Divide each side by '-3'. y = 10 Simplifying y = 10
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