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Simplifying -2(5y + -1) + 8y = 2 + 4(2y + -2) Reorder the terms: -2(-1 + 5y) + 8y = 2 + 4(2y + -2) (-1 * -2 + 5y * -2) + 8y = 2 + 4(2y + -2) (2 + -10y) + 8y = 2 + 4(2y + -2) Combine like terms: -10y + 8y = -2y 2 + -2y = 2 + 4(2y + -2) Reorder the terms: 2 + -2y = 2 + 4(-2 + 2y) 2 + -2y = 2 + (-2 * 4 + 2y * 4) 2 + -2y = 2 + (-8 + 8y) Combine like terms: 2 + -8 = -6 2 + -2y = -6 + 8y Solving 2 + -2y = -6 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 2 + -2y + -8y = -6 + 8y + -8y Combine like terms: -2y + -8y = -10y 2 + -10y = -6 + 8y + -8y Combine like terms: 8y + -8y = 0 2 + -10y = -6 + 0 2 + -10y = -6 Add '-2' to each side of the equation. 2 + -2 + -10y = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -10y = -6 + -2 -10y = -6 + -2 Combine like terms: -6 + -2 = -8 -10y = -8 Divide each side by '-10'. y = 0.8 Simplifying y = 0.8
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