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Simplifying 2y + 6 + 1y = -10y + -42 + y Reorder the terms: 6 + 2y + 1y = -10y + -42 + y Combine like terms: 2y + 1y = 3y 6 + 3y = -10y + -42 + y Reorder the terms: 6 + 3y = -42 + -10y + y Combine like terms: -10y + y = -9y 6 + 3y = -42 + -9y Solving 6 + 3y = -42 + -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. 6 + 3y + 9y = -42 + -9y + 9y Combine like terms: 3y + 9y = 12y 6 + 12y = -42 + -9y + 9y Combine like terms: -9y + 9y = 0 6 + 12y = -42 + 0 6 + 12y = -42 Add '-6' to each side of the equation. 6 + -6 + 12y = -42 + -6 Combine like terms: 6 + -6 = 0 0 + 12y = -42 + -6 12y = -42 + -6 Combine like terms: -42 + -6 = -48 12y = -48 Divide each side by '12'. y = -4 Simplifying y = -4
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