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Simplifying 6y + 8 = -3(y + 10) Reorder the terms: 8 + 6y = -3(y + 10) Reorder the terms: 8 + 6y = -3(10 + y) 8 + 6y = (10 * -3 + y * -3) 8 + 6y = (-30 + -3y) Solving 8 + 6y = -30 + -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. 8 + 6y + 3y = -30 + -3y + 3y Combine like terms: 6y + 3y = 9y 8 + 9y = -30 + -3y + 3y Combine like terms: -3y + 3y = 0 8 + 9y = -30 + 0 8 + 9y = -30 Add '-8' to each side of the equation. 8 + -8 + 9y = -30 + -8 Combine like terms: 8 + -8 = 0 0 + 9y = -30 + -8 9y = -30 + -8 Combine like terms: -30 + -8 = -38 9y = -38 Divide each side by '9'. y = -4.222222222 Simplifying y = -4.222222222
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