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Simplifying -3y + 15y + 7 = 8y + 43 Reorder the terms: 7 + -3y + 15y = 8y + 43 Combine like terms: -3y + 15y = 12y 7 + 12y = 8y + 43 Reorder the terms: 7 + 12y = 43 + 8y Solving 7 + 12y = 43 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 7 + 12y + -8y = 43 + 8y + -8y Combine like terms: 12y + -8y = 4y 7 + 4y = 43 + 8y + -8y Combine like terms: 8y + -8y = 0 7 + 4y = 43 + 0 7 + 4y = 43 Add '-7' to each side of the equation. 7 + -7 + 4y = 43 + -7 Combine like terms: 7 + -7 = 0 0 + 4y = 43 + -7 4y = 43 + -7 Combine like terms: 43 + -7 = 36 4y = 36 Divide each side by '4'. y = 9 Simplifying y = 9
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