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Simplifying 10y + -6 = 3(y + 8) + -2 Reorder the terms: -6 + 10y = 3(y + 8) + -2 Reorder the terms: -6 + 10y = 3(8 + y) + -2 -6 + 10y = (8 * 3 + y * 3) + -2 -6 + 10y = (24 + 3y) + -2 Reorder the terms: -6 + 10y = 24 + -2 + 3y Combine like terms: 24 + -2 = 22 -6 + 10y = 22 + 3y Solving -6 + 10y = 22 + 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. -6 + 10y + -3y = 22 + 3y + -3y Combine like terms: 10y + -3y = 7y -6 + 7y = 22 + 3y + -3y Combine like terms: 3y + -3y = 0 -6 + 7y = 22 + 0 -6 + 7y = 22 Add '6' to each side of the equation. -6 + 6 + 7y = 22 + 6 Combine like terms: -6 + 6 = 0 0 + 7y = 22 + 6 7y = 22 + 6 Combine like terms: 22 + 6 = 28 7y = 28 Divide each side by '7'. y = 4 Simplifying y = 4
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