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Simplifying -10y + 3 + -2y = 4y + -1y + -42 Reorder the terms: 3 + -10y + -2y = 4y + -1y + -42 Combine like terms: -10y + -2y = -12y 3 + -12y = 4y + -1y + -42 Reorder the terms: 3 + -12y = -42 + 4y + -1y Combine like terms: 4y + -1y = 3y 3 + -12y = -42 + 3y Solving 3 + -12y = -42 + 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. 3 + -12y + -3y = -42 + 3y + -3y Combine like terms: -12y + -3y = -15y 3 + -15y = -42 + 3y + -3y Combine like terms: 3y + -3y = 0 3 + -15y = -42 + 0 3 + -15y = -42 Add '-3' to each side of the equation. 3 + -3 + -15y = -42 + -3 Combine like terms: 3 + -3 = 0 0 + -15y = -42 + -3 -15y = -42 + -3 Combine like terms: -42 + -3 = -45 -15y = -45 Divide each side by '-15'. y = 3 Simplifying y = 3
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