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Simplifying 43 + 4y + -13 = 12y + -12 + -2y Reorder the terms: 43 + -13 + 4y = 12y + -12 + -2y Combine like terms: 43 + -13 = 30 30 + 4y = 12y + -12 + -2y Reorder the terms: 30 + 4y = -12 + 12y + -2y Combine like terms: 12y + -2y = 10y 30 + 4y = -12 + 10y Solving 30 + 4y = -12 + 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. 30 + 4y + -10y = -12 + 10y + -10y Combine like terms: 4y + -10y = -6y 30 + -6y = -12 + 10y + -10y Combine like terms: 10y + -10y = 0 30 + -6y = -12 + 0 30 + -6y = -12 Add '-30' to each side of the equation. 30 + -30 + -6y = -12 + -30 Combine like terms: 30 + -30 = 0 0 + -6y = -12 + -30 -6y = -12 + -30 Combine like terms: -12 + -30 = -42 -6y = -42 Divide each side by '-6'. y = 7 Simplifying y = 7
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