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Simplifying 6y + -1(2y + 5) = 9y + -10 Reorder the terms: 6y + -1(5 + 2y) = 9y + -10 6y + (5 * -1 + 2y * -1) = 9y + -10 6y + (-5 + -2y) = 9y + -10 Reorder the terms: -5 + 6y + -2y = 9y + -10 Combine like terms: 6y + -2y = 4y -5 + 4y = 9y + -10 Reorder the terms: -5 + 4y = -10 + 9y Solving -5 + 4y = -10 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -5 + 4y + -9y = -10 + 9y + -9y Combine like terms: 4y + -9y = -5y -5 + -5y = -10 + 9y + -9y Combine like terms: 9y + -9y = 0 -5 + -5y = -10 + 0 -5 + -5y = -10 Add '5' to each side of the equation. -5 + 5 + -5y = -10 + 5 Combine like terms: -5 + 5 = 0 0 + -5y = -10 + 5 -5y = -10 + 5 Combine like terms: -10 + 5 = -5 -5y = -5 Divide each side by '-5'. y = 1 Simplifying y = 1
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