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Simplifying 6(y + 2) + 2y = 15 + -1(y + 4) Reorder the terms: 6(2 + y) + 2y = 15 + -1(y + 4) (2 * 6 + y * 6) + 2y = 15 + -1(y + 4) (12 + 6y) + 2y = 15 + -1(y + 4) Combine like terms: 6y + 2y = 8y 12 + 8y = 15 + -1(y + 4) Reorder the terms: 12 + 8y = 15 + -1(4 + y) 12 + 8y = 15 + (4 * -1 + y * -1) 12 + 8y = 15 + (-4 + -1y) Combine like terms: 15 + -4 = 11 12 + 8y = 11 + -1y Solving 12 + 8y = 11 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. 12 + 8y + y = 11 + -1y + y Combine like terms: 8y + y = 9y 12 + 9y = 11 + -1y + y Combine like terms: -1y + y = 0 12 + 9y = 11 + 0 12 + 9y = 11 Add '-12' to each side of the equation. 12 + -12 + 9y = 11 + -12 Combine like terms: 12 + -12 = 0 0 + 9y = 11 + -12 9y = 11 + -12 Combine like terms: 11 + -12 = -1 9y = -1 Divide each side by '9'. y = -0.1111111111 Simplifying y = -0.1111111111
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