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Simplifying -2(7y + -4) + 6y = 2(y + 6) Reorder the terms: -2(-4 + 7y) + 6y = 2(y + 6) (-4 * -2 + 7y * -2) + 6y = 2(y + 6) (8 + -14y) + 6y = 2(y + 6) Combine like terms: -14y + 6y = -8y 8 + -8y = 2(y + 6) Reorder the terms: 8 + -8y = 2(6 + y) 8 + -8y = (6 * 2 + y * 2) 8 + -8y = (12 + 2y) Solving 8 + -8y = 12 + 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 + -8y + -2y = 12 + 2y + -2y Combine like terms: -8y + -2y = -10y 8 + -10y = 12 + 2y + -2y Combine like terms: 2y + -2y = 0 8 + -10y = 12 + 0 8 + -10y = 12 Add '-8' to each side of the equation. 8 + -8 + -10y = 12 + -8 Combine like terms: 8 + -8 = 0 0 + -10y = 12 + -8 -10y = 12 + -8 Combine like terms: 12 + -8 = 4 -10y = 4 Divide each side by '-10'. y = -0.4 Simplifying y = -0.4
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