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Simplifying 2 + -4(y + -2) = 6(y + 3) Reorder the terms: 2 + -4(-2 + y) = 6(y + 3) 2 + (-2 * -4 + y * -4) = 6(y + 3) 2 + (8 + -4y) = 6(y + 3) Combine like terms: 2 + 8 = 10 10 + -4y = 6(y + 3) Reorder the terms: 10 + -4y = 6(3 + y) 10 + -4y = (3 * 6 + y * 6) 10 + -4y = (18 + 6y) Solving 10 + -4y = 18 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 10 + -4y + -6y = 18 + 6y + -6y Combine like terms: -4y + -6y = -10y 10 + -10y = 18 + 6y + -6y Combine like terms: 6y + -6y = 0 10 + -10y = 18 + 0 10 + -10y = 18 Add '-10' to each side of the equation. 10 + -10 + -10y = 18 + -10 Combine like terms: 10 + -10 = 0 0 + -10y = 18 + -10 -10y = 18 + -10 Combine like terms: 18 + -10 = 8 -10y = 8 Divide each side by '-10'. y = -0.8 Simplifying y = -0.8
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