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Simplifying -3(5y + -2) + 7y = 2 + 2(5y + -5) Reorder the terms: -3(-2 + 5y) + 7y = 2 + 2(5y + -5) (-2 * -3 + 5y * -3) + 7y = 2 + 2(5y + -5) (6 + -15y) + 7y = 2 + 2(5y + -5) Combine like terms: -15y + 7y = -8y 6 + -8y = 2 + 2(5y + -5) Reorder the terms: 6 + -8y = 2 + 2(-5 + 5y) 6 + -8y = 2 + (-5 * 2 + 5y * 2) 6 + -8y = 2 + (-10 + 10y) Combine like terms: 2 + -10 = -8 6 + -8y = -8 + 10y Solving 6 + -8y = -8 + 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. 6 + -8y + -10y = -8 + 10y + -10y Combine like terms: -8y + -10y = -18y 6 + -18y = -8 + 10y + -10y Combine like terms: 10y + -10y = 0 6 + -18y = -8 + 0 6 + -18y = -8 Add '-6' to each side of the equation. 6 + -6 + -18y = -8 + -6 Combine like terms: 6 + -6 = 0 0 + -18y = -8 + -6 -18y = -8 + -6 Combine like terms: -8 + -6 = -14 -18y = -14 Divide each side by '-18'. y = 0.7777777778 Simplifying y = 0.7777777778
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