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Simplifying 3(y + -10) + 1 = -3(y + -8) Reorder the terms: 3(-10 + y) + 1 = -3(y + -8) (-10 * 3 + y * 3) + 1 = -3(y + -8) (-30 + 3y) + 1 = -3(y + -8) Reorder the terms: -30 + 1 + 3y = -3(y + -8) Combine like terms: -30 + 1 = -29 -29 + 3y = -3(y + -8) Reorder the terms: -29 + 3y = -3(-8 + y) -29 + 3y = (-8 * -3 + y * -3) -29 + 3y = (24 + -3y) Solving -29 + 3y = 24 + -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. -29 + 3y + 3y = 24 + -3y + 3y Combine like terms: 3y + 3y = 6y -29 + 6y = 24 + -3y + 3y Combine like terms: -3y + 3y = 0 -29 + 6y = 24 + 0 -29 + 6y = 24 Add '29' to each side of the equation. -29 + 29 + 6y = 24 + 29 Combine like terms: -29 + 29 = 0 0 + 6y = 24 + 29 6y = 24 + 29 Combine like terms: 24 + 29 = 53 6y = 53 Divide each side by '6'. y = 8.833333333 Simplifying y = 8.833333333
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