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Simplifying 6y + -7 + 2(2y + 5) = -2(y + 6) Reorder the terms: 6y + -7 + 2(5 + 2y) = -2(y + 6) 6y + -7 + (5 * 2 + 2y * 2) = -2(y + 6) 6y + -7 + (10 + 4y) = -2(y + 6) Reorder the terms: -7 + 10 + 6y + 4y = -2(y + 6) Combine like terms: -7 + 10 = 3 3 + 6y + 4y = -2(y + 6) Combine like terms: 6y + 4y = 10y 3 + 10y = -2(y + 6) Reorder the terms: 3 + 10y = -2(6 + y) 3 + 10y = (6 * -2 + y * -2) 3 + 10y = (-12 + -2y) Solving 3 + 10y = -12 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 3 + 10y + 2y = -12 + -2y + 2y Combine like terms: 10y + 2y = 12y 3 + 12y = -12 + -2y + 2y Combine like terms: -2y + 2y = 0 3 + 12y = -12 + 0 3 + 12y = -12 Add '-3' to each side of the equation. 3 + -3 + 12y = -12 + -3 Combine like terms: 3 + -3 = 0 0 + 12y = -12 + -3 12y = -12 + -3 Combine like terms: -12 + -3 = -15 12y = -15 Divide each side by '12'. y = -1.25 Simplifying y = -1.25
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