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Simplifying (6y + 3) + (2y + 7) = 12y + -10 Reorder the terms: (3 + 6y) + (2y + 7) = 12y + -10 Remove parenthesis around (3 + 6y) 3 + 6y + (2y + 7) = 12y + -10 Reorder the terms: 3 + 6y + (7 + 2y) = 12y + -10 Remove parenthesis around (7 + 2y) 3 + 6y + 7 + 2y = 12y + -10 Reorder the terms: 3 + 7 + 6y + 2y = 12y + -10 Combine like terms: 3 + 7 = 10 10 + 6y + 2y = 12y + -10 Combine like terms: 6y + 2y = 8y 10 + 8y = 12y + -10 Reorder the terms: 10 + 8y = -10 + 12y Solving 10 + 8y = -10 + 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. 10 + 8y + -12y = -10 + 12y + -12y Combine like terms: 8y + -12y = -4y 10 + -4y = -10 + 12y + -12y Combine like terms: 12y + -12y = 0 10 + -4y = -10 + 0 10 + -4y = -10 Add '-10' to each side of the equation. 10 + -10 + -4y = -10 + -10 Combine like terms: 10 + -10 = 0 0 + -4y = -10 + -10 -4y = -10 + -10 Combine like terms: -10 + -10 = -20 -4y = -20 Divide each side by '-4'. y = 5 Simplifying y = 5
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