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Simplifying 6(y + -5) = -2(10 + 3y) Reorder the terms: 6(-5 + y) = -2(10 + 3y) (-5 * 6 + y * 6) = -2(10 + 3y) (-30 + 6y) = -2(10 + 3y) -30 + 6y = (10 * -2 + 3y * -2) -30 + 6y = (-20 + -6y) Solving -30 + 6y = -20 + -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. -30 + 6y + 6y = -20 + -6y + 6y Combine like terms: 6y + 6y = 12y -30 + 12y = -20 + -6y + 6y Combine like terms: -6y + 6y = 0 -30 + 12y = -20 + 0 -30 + 12y = -20 Add '30' to each side of the equation. -30 + 30 + 12y = -20 + 30 Combine like terms: -30 + 30 = 0 0 + 12y = -20 + 30 12y = -20 + 30 Combine like terms: -20 + 30 = 10 12y = 10 Divide each side by '12'. y = 0.8333333333 Simplifying y = 0.8333333333
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