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Simplifying 3y + 8 = -4 + 2(5y + -1) Reorder the terms: 8 + 3y = -4 + 2(5y + -1) Reorder the terms: 8 + 3y = -4 + 2(-1 + 5y) 8 + 3y = -4 + (-1 * 2 + 5y * 2) 8 + 3y = -4 + (-2 + 10y) Combine like terms: -4 + -2 = -6 8 + 3y = -6 + 10y Solving 8 + 3y = -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 + 3y + -10y = -6 + 10y + -10y Combine like terms: 3y + -10y = -7y 8 + -7y = -6 + 10y + -10y Combine like terms: 10y + -10y = 0 8 + -7y = -6 + 0 8 + -7y = -6 Add '-8' to each side of the equation. 8 + -8 + -7y = -6 + -8 Combine like terms: 8 + -8 = 0 0 + -7y = -6 + -8 -7y = -6 + -8 Combine like terms: -6 + -8 = -14 -7y = -14 Divide each side by '-7'. y = 2 Simplifying y = 2
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