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Simplifying 6y + -10 = 2(5 + -3y) Reorder the terms: -10 + 6y = 2(5 + -3y) -10 + 6y = (5 * 2 + -3y * 2) -10 + 6y = (10 + -6y) Solving -10 + 6y = 10 + -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. -10 + 6y + 6y = 10 + -6y + 6y Combine like terms: 6y + 6y = 12y -10 + 12y = 10 + -6y + 6y Combine like terms: -6y + 6y = 0 -10 + 12y = 10 + 0 -10 + 12y = 10 Add '10' to each side of the equation. -10 + 10 + 12y = 10 + 10 Combine like terms: -10 + 10 = 0 0 + 12y = 10 + 10 12y = 10 + 10 Combine like terms: 10 + 10 = 20 12y = 20 Divide each side by '12'. y = 1.666666667 Simplifying y = 1.666666667
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