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Simplifying 5y + -2 = -8(y + -3) Reorder the terms: -2 + 5y = -8(y + -3) Reorder the terms: -2 + 5y = -8(-3 + y) -2 + 5y = (-3 * -8 + y * -8) -2 + 5y = (24 + -8y) Solving -2 + 5y = 24 + -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 + 5y + 8y = 24 + -8y + 8y Combine like terms: 5y + 8y = 13y -2 + 13y = 24 + -8y + 8y Combine like terms: -8y + 8y = 0 -2 + 13y = 24 + 0 -2 + 13y = 24 Add '2' to each side of the equation. -2 + 2 + 13y = 24 + 2 Combine like terms: -2 + 2 = 0 0 + 13y = 24 + 2 13y = 24 + 2 Combine like terms: 24 + 2 = 26 13y = 26 Divide each side by '13'. y = 2 Simplifying y = 2
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