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Simplifying 3y + -2 = -5(y + -6) Reorder the terms: -2 + 3y = -5(y + -6) Reorder the terms: -2 + 3y = -5(-6 + y) -2 + 3y = (-6 * -5 + y * -5) -2 + 3y = (30 + -5y) Solving -2 + 3y = 30 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. -2 + 3y + 5y = 30 + -5y + 5y Combine like terms: 3y + 5y = 8y -2 + 8y = 30 + -5y + 5y Combine like terms: -5y + 5y = 0 -2 + 8y = 30 + 0 -2 + 8y = 30 Add '2' to each side of the equation. -2 + 2 + 8y = 30 + 2 Combine like terms: -2 + 2 = 0 0 + 8y = 30 + 2 8y = 30 + 2 Combine like terms: 30 + 2 = 32 8y = 32 Divide each side by '8'. y = 4 Simplifying y = 4
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