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Simplifying 6(9y + -1) + -10(5y) + -3y = 22 Reorder the terms: 6(-1 + 9y) + -10(5y) + -3y = 22 (-1 * 6 + 9y * 6) + -10(5y) + -3y = 22 (-6 + 54y) + -10(5y) + -3y = 22 Remove parenthesis around (5y) -6 + 54y + -10 * 5y + -3y = 22 Multiply -10 * 5 -6 + 54y + -50y + -3y = 22 Combine like terms: 54y + -50y = 4y -6 + 4y + -3y = 22 Combine like terms: 4y + -3y = 1y -6 + 1y = 22 Solving -6 + 1y = 22 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 1y = 22 + 6 Combine like terms: -6 + 6 = 0 0 + 1y = 22 + 6 1y = 22 + 6 Combine like terms: 22 + 6 = 28 1y = 28 Divide each side by '1'. y = 28 Simplifying y = 28
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