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Simplifying (6y + 2) + (2y + 7) = 12y + -15 Reorder the terms: (2 + 6y) + (2y + 7) = 12y + -15 Remove parenthesis around (2 + 6y) 2 + 6y + (2y + 7) = 12y + -15 Reorder the terms: 2 + 6y + (7 + 2y) = 12y + -15 Remove parenthesis around (7 + 2y) 2 + 6y + 7 + 2y = 12y + -15 Reorder the terms: 2 + 7 + 6y + 2y = 12y + -15 Combine like terms: 2 + 7 = 9 9 + 6y + 2y = 12y + -15 Combine like terms: 6y + 2y = 8y 9 + 8y = 12y + -15 Reorder the terms: 9 + 8y = -15 + 12y Solving 9 + 8y = -15 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. 9 + 8y + -12y = -15 + 12y + -12y Combine like terms: 8y + -12y = -4y 9 + -4y = -15 + 12y + -12y Combine like terms: 12y + -12y = 0 9 + -4y = -15 + 0 9 + -4y = -15 Add '-9' to each side of the equation. 9 + -9 + -4y = -15 + -9 Combine like terms: 9 + -9 = 0 0 + -4y = -15 + -9 -4y = -15 + -9 Combine like terms: -15 + -9 = -24 -4y = -24 Divide each side by '-4'. y = 6 Simplifying y = 6
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