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Simplifying -2(6y + -4) + 4y = 4 + 5(2y + -2) Reorder the terms: -2(-4 + 6y) + 4y = 4 + 5(2y + -2) (-4 * -2 + 6y * -2) + 4y = 4 + 5(2y + -2) (8 + -12y) + 4y = 4 + 5(2y + -2) Combine like terms: -12y + 4y = -8y 8 + -8y = 4 + 5(2y + -2) Reorder the terms: 8 + -8y = 4 + 5(-2 + 2y) 8 + -8y = 4 + (-2 * 5 + 2y * 5) 8 + -8y = 4 + (-10 + 10y) Combine like terms: 4 + -10 = -6 8 + -8y = -6 + 10y Solving 8 + -8y = -6 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 8 + -8y + -10y = -6 + 10y + -10y Combine like terms: -8y + -10y = -18y 8 + -18y = -6 + 10y + -10y Combine like terms: 10y + -10y = 0 8 + -18y = -6 + 0 8 + -18y = -6 Add '-8' to each side of the equation. 8 + -8 + -18y = -6 + -8 Combine like terms: 8 + -8 = 0 0 + -18y = -6 + -8 -18y = -6 + -8 Combine like terms: -6 + -8 = -14 -18y = -14 Divide each side by '-18'. y = 0.7777777778 Simplifying y = 0.7777777778
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