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Simplifying 5(y + 3) = 8 + -6(7 + -2y) Reorder the terms: 5(3 + y) = 8 + -6(7 + -2y) (3 * 5 + y * 5) = 8 + -6(7 + -2y) (15 + 5y) = 8 + -6(7 + -2y) 15 + 5y = 8 + (7 * -6 + -2y * -6) 15 + 5y = 8 + (-42 + 12y) Combine like terms: 8 + -42 = -34 15 + 5y = -34 + 12y Solving 15 + 5y = -34 + 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. 15 + 5y + -12y = -34 + 12y + -12y Combine like terms: 5y + -12y = -7y 15 + -7y = -34 + 12y + -12y Combine like terms: 12y + -12y = 0 15 + -7y = -34 + 0 15 + -7y = -34 Add '-15' to each side of the equation. 15 + -15 + -7y = -34 + -15 Combine like terms: 15 + -15 = 0 0 + -7y = -34 + -15 -7y = -34 + -15 Combine like terms: -34 + -15 = -49 -7y = -49 Divide each side by '-7'. y = 7 Simplifying y = 7
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