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Simplifying 6(2y + 7) + 4(y + 2) + -3(y + 0) = -15 Reorder the terms: 6(7 + 2y) + 4(y + 2) + -3(y + 0) = -15 (7 * 6 + 2y * 6) + 4(y + 2) + -3(y + 0) = -15 (42 + 12y) + 4(y + 2) + -3(y + 0) = -15 Reorder the terms: 42 + 12y + 4(2 + y) + -3(y + 0) = -15 42 + 12y + (2 * 4 + y * 4) + -3(y + 0) = -15 42 + 12y + (8 + 4y) + -3(y + 0) = -15 Reorder the terms: 42 + 12y + 8 + 4y + -3(0 + y) = -15 Remove the zero: 42 + 12y + 8 + 4y + -3(y) = -15 Reorder the terms: 42 + 8 + 12y + 4y + -3y = -15 Combine like terms: 42 + 8 = 50 50 + 12y + 4y + -3y = -15 Combine like terms: 12y + 4y = 16y 50 + 16y + -3y = -15 Combine like terms: 16y + -3y = 13y 50 + 13y = -15 Solving 50 + 13y = -15 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + 13y = -15 + -50 Combine like terms: 50 + -50 = 0 0 + 13y = -15 + -50 13y = -15 + -50 Combine like terms: -15 + -50 = -65 13y = -65 Divide each side by '13'. y = -5 Simplifying y = -5
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