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Simplifying -2(2y + -2) + 6y = 6 + 2(5y + -2) Reorder the terms: -2(-2 + 2y) + 6y = 6 + 2(5y + -2) (-2 * -2 + 2y * -2) + 6y = 6 + 2(5y + -2) (4 + -4y) + 6y = 6 + 2(5y + -2) Combine like terms: -4y + 6y = 2y 4 + 2y = 6 + 2(5y + -2) Reorder the terms: 4 + 2y = 6 + 2(-2 + 5y) 4 + 2y = 6 + (-2 * 2 + 5y * 2) 4 + 2y = 6 + (-4 + 10y) Combine like terms: 6 + -4 = 2 4 + 2y = 2 + 10y Solving 4 + 2y = 2 + 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. 4 + 2y + -10y = 2 + 10y + -10y Combine like terms: 2y + -10y = -8y 4 + -8y = 2 + 10y + -10y Combine like terms: 10y + -10y = 0 4 + -8y = 2 + 0 4 + -8y = 2 Add '-4' to each side of the equation. 4 + -4 + -8y = 2 + -4 Combine like terms: 4 + -4 = 0 0 + -8y = 2 + -4 -8y = 2 + -4 Combine like terms: 2 + -4 = -2 -8y = -2 Divide each side by '-8'. y = 0.25 Simplifying y = 0.25
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