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Simplifying 3(y + -1) = y + 2 + -5(-4y + -2) Reorder the terms: 3(-1 + y) = y + 2 + -5(-4y + -2) (-1 * 3 + y * 3) = y + 2 + -5(-4y + -2) (-3 + 3y) = y + 2 + -5(-4y + -2) Reorder the terms: -3 + 3y = y + 2 + -5(-2 + -4y) -3 + 3y = y + 2 + (-2 * -5 + -4y * -5) -3 + 3y = y + 2 + (10 + 20y) Reorder the terms: -3 + 3y = 2 + 10 + y + 20y Combine like terms: 2 + 10 = 12 -3 + 3y = 12 + y + 20y Combine like terms: y + 20y = 21y -3 + 3y = 12 + 21y Solving -3 + 3y = 12 + 21y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-21y' to each side of the equation. -3 + 3y + -21y = 12 + 21y + -21y Combine like terms: 3y + -21y = -18y -3 + -18y = 12 + 21y + -21y Combine like terms: 21y + -21y = 0 -3 + -18y = 12 + 0 -3 + -18y = 12 Add '3' to each side of the equation. -3 + 3 + -18y = 12 + 3 Combine like terms: -3 + 3 = 0 0 + -18y = 12 + 3 -18y = 12 + 3 Combine like terms: 12 + 3 = 15 -18y = 15 Divide each side by '-18'. y = -0.8333333333 Simplifying y = -0.8333333333
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