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Simplifying 5y + 6 + -2(-6y + -1) = 2(y + -2) Reorder the terms: 5y + 6 + -2(-1 + -6y) = 2(y + -2) 5y + 6 + (-1 * -2 + -6y * -2) = 2(y + -2) 5y + 6 + (2 + 12y) = 2(y + -2) Reorder the terms: 6 + 2 + 5y + 12y = 2(y + -2) Combine like terms: 6 + 2 = 8 8 + 5y + 12y = 2(y + -2) Combine like terms: 5y + 12y = 17y 8 + 17y = 2(y + -2) Reorder the terms: 8 + 17y = 2(-2 + y) 8 + 17y = (-2 * 2 + y * 2) 8 + 17y = (-4 + 2y) Solving 8 + 17y = -4 + 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. 8 + 17y + -2y = -4 + 2y + -2y Combine like terms: 17y + -2y = 15y 8 + 15y = -4 + 2y + -2y Combine like terms: 2y + -2y = 0 8 + 15y = -4 + 0 8 + 15y = -4 Add '-8' to each side of the equation. 8 + -8 + 15y = -4 + -8 Combine like terms: 8 + -8 = 0 0 + 15y = -4 + -8 15y = -4 + -8 Combine like terms: -4 + -8 = -12 15y = -12 Divide each side by '15'. y = -0.8 Simplifying y = -0.8
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