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Simplifying 6y + -4 + 2(2y + 1) = -5(y + 1) Reorder the terms: 6y + -4 + 2(1 + 2y) = -5(y + 1) 6y + -4 + (1 * 2 + 2y * 2) = -5(y + 1) 6y + -4 + (2 + 4y) = -5(y + 1) Reorder the terms: -4 + 2 + 6y + 4y = -5(y + 1) Combine like terms: -4 + 2 = -2 -2 + 6y + 4y = -5(y + 1) Combine like terms: 6y + 4y = 10y -2 + 10y = -5(y + 1) Reorder the terms: -2 + 10y = -5(1 + y) -2 + 10y = (1 * -5 + y * -5) -2 + 10y = (-5 + -5y) Solving -2 + 10y = -5 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. -2 + 10y + 5y = -5 + -5y + 5y Combine like terms: 10y + 5y = 15y -2 + 15y = -5 + -5y + 5y Combine like terms: -5y + 5y = 0 -2 + 15y = -5 + 0 -2 + 15y = -5 Add '2' to each side of the equation. -2 + 2 + 15y = -5 + 2 Combine like terms: -2 + 2 = 0 0 + 15y = -5 + 2 15y = -5 + 2 Combine like terms: -5 + 2 = -3 15y = -3 Divide each side by '15'. y = -0.2 Simplifying y = -0.2
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