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Simplifying 4(6 + -1y) + 10 = -10(y + -2) + -9 (6 * 4 + -1y * 4) + 10 = -10(y + -2) + -9 (24 + -4y) + 10 = -10(y + -2) + -9 Reorder the terms: 24 + 10 + -4y = -10(y + -2) + -9 Combine like terms: 24 + 10 = 34 34 + -4y = -10(y + -2) + -9 Reorder the terms: 34 + -4y = -10(-2 + y) + -9 34 + -4y = (-2 * -10 + y * -10) + -9 34 + -4y = (20 + -10y) + -9 Reorder the terms: 34 + -4y = 20 + -9 + -10y Combine like terms: 20 + -9 = 11 34 + -4y = 11 + -10y Solving 34 + -4y = 11 + -10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '10y' to each side of the equation. 34 + -4y + 10y = 11 + -10y + 10y Combine like terms: -4y + 10y = 6y 34 + 6y = 11 + -10y + 10y Combine like terms: -10y + 10y = 0 34 + 6y = 11 + 0 34 + 6y = 11 Add '-34' to each side of the equation. 34 + -34 + 6y = 11 + -34 Combine like terms: 34 + -34 = 0 0 + 6y = 11 + -34 6y = 11 + -34 Combine like terms: 11 + -34 = -23 6y = -23 Divide each side by '6'. y = -3.833333333 Simplifying y = -3.833333333
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