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Simplifying 6(y + -5) + 3y = 10 + -3y Reorder the terms: 6(-5 + y) + 3y = 10 + -3y (-5 * 6 + y * 6) + 3y = 10 + -3y (-30 + 6y) + 3y = 10 + -3y Combine like terms: 6y + 3y = 9y -30 + 9y = 10 + -3y Solving -30 + 9y = 10 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -30 + 9y + 3y = 10 + -3y + 3y Combine like terms: 9y + 3y = 12y -30 + 12y = 10 + -3y + 3y Combine like terms: -3y + 3y = 0 -30 + 12y = 10 + 0 -30 + 12y = 10 Add '30' to each side of the equation. -30 + 30 + 12y = 10 + 30 Combine like terms: -30 + 30 = 0 0 + 12y = 10 + 30 12y = 10 + 30 Combine like terms: 10 + 30 = 40 12y = 40 Divide each side by '12'. y = 3.333333333 Simplifying y = 3.333333333
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