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Simplifying 6(y + -1) + 10 = y + 2(y + -10) Reorder the terms: 6(-1 + y) + 10 = y + 2(y + -10) (-1 * 6 + y * 6) + 10 = y + 2(y + -10) (-6 + 6y) + 10 = y + 2(y + -10) Reorder the terms: -6 + 10 + 6y = y + 2(y + -10) Combine like terms: -6 + 10 = 4 4 + 6y = y + 2(y + -10) Reorder the terms: 4 + 6y = y + 2(-10 + y) 4 + 6y = y + (-10 * 2 + y * 2) 4 + 6y = y + (-20 + 2y) Reorder the terms: 4 + 6y = -20 + y + 2y Combine like terms: y + 2y = 3y 4 + 6y = -20 + 3y Solving 4 + 6y = -20 + 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. 4 + 6y + -3y = -20 + 3y + -3y Combine like terms: 6y + -3y = 3y 4 + 3y = -20 + 3y + -3y Combine like terms: 3y + -3y = 0 4 + 3y = -20 + 0 4 + 3y = -20 Add '-4' to each side of the equation. 4 + -4 + 3y = -20 + -4 Combine like terms: 4 + -4 = 0 0 + 3y = -20 + -4 3y = -20 + -4 Combine like terms: -20 + -4 = -24 3y = -24 Divide each side by '3'. y = -8 Simplifying y = -8
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