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Simplifying 5 + -2(y + 4) = 6(3y + 2) Reorder the terms: 5 + -2(4 + y) = 6(3y + 2) 5 + (4 * -2 + y * -2) = 6(3y + 2) 5 + (-8 + -2y) = 6(3y + 2) Combine like terms: 5 + -8 = -3 -3 + -2y = 6(3y + 2) Reorder the terms: -3 + -2y = 6(2 + 3y) -3 + -2y = (2 * 6 + 3y * 6) -3 + -2y = (12 + 18y) Solving -3 + -2y = 12 + 18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18y' to each side of the equation. -3 + -2y + -18y = 12 + 18y + -18y Combine like terms: -2y + -18y = -20y -3 + -20y = 12 + 18y + -18y Combine like terms: 18y + -18y = 0 -3 + -20y = 12 + 0 -3 + -20y = 12 Add '3' to each side of the equation. -3 + 3 + -20y = 12 + 3 Combine like terms: -3 + 3 = 0 0 + -20y = 12 + 3 -20y = 12 + 3 Combine like terms: 12 + 3 = 15 -20y = 15 Divide each side by '-20'. y = -0.75 Simplifying y = -0.75
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