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Simplifying 6y + 2 + -2(-5y + -5) = 2(y + -2) Reorder the terms: 6y + 2 + -2(-5 + -5y) = 2(y + -2) 6y + 2 + (-5 * -2 + -5y * -2) = 2(y + -2) 6y + 2 + (10 + 10y) = 2(y + -2) Reorder the terms: 2 + 10 + 6y + 10y = 2(y + -2) Combine like terms: 2 + 10 = 12 12 + 6y + 10y = 2(y + -2) Combine like terms: 6y + 10y = 16y 12 + 16y = 2(y + -2) Reorder the terms: 12 + 16y = 2(-2 + y) 12 + 16y = (-2 * 2 + y * 2) 12 + 16y = (-4 + 2y) Solving 12 + 16y = -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. 12 + 16y + -2y = -4 + 2y + -2y Combine like terms: 16y + -2y = 14y 12 + 14y = -4 + 2y + -2y Combine like terms: 2y + -2y = 0 12 + 14y = -4 + 0 12 + 14y = -4 Add '-12' to each side of the equation. 12 + -12 + 14y = -4 + -12 Combine like terms: 12 + -12 = 0 0 + 14y = -4 + -12 14y = -4 + -12 Combine like terms: -4 + -12 = -16 14y = -16 Divide each side by '14'. y = -1.142857143 Simplifying y = -1.142857143
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