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Simplifying 38 + 4y + -9 = 12y + -13 + -2y Reorder the terms: 38 + -9 + 4y = 12y + -13 + -2y Combine like terms: 38 + -9 = 29 29 + 4y = 12y + -13 + -2y Reorder the terms: 29 + 4y = -13 + 12y + -2y Combine like terms: 12y + -2y = 10y 29 + 4y = -13 + 10y Solving 29 + 4y = -13 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 29 + 4y + -10y = -13 + 10y + -10y Combine like terms: 4y + -10y = -6y 29 + -6y = -13 + 10y + -10y Combine like terms: 10y + -10y = 0 29 + -6y = -13 + 0 29 + -6y = -13 Add '-29' to each side of the equation. 29 + -29 + -6y = -13 + -29 Combine like terms: 29 + -29 = 0 0 + -6y = -13 + -29 -6y = -13 + -29 Combine like terms: -13 + -29 = -42 -6y = -42 Divide each side by '-6'. y = 7 Simplifying y = 7
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