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Simplifying 5y + -3(y + -4) = 8y + 30 Reorder the terms: 5y + -3(-4 + y) = 8y + 30 5y + (-4 * -3 + y * -3) = 8y + 30 5y + (12 + -3y) = 8y + 30 Reorder the terms: 12 + 5y + -3y = 8y + 30 Combine like terms: 5y + -3y = 2y 12 + 2y = 8y + 30 Reorder the terms: 12 + 2y = 30 + 8y Solving 12 + 2y = 30 + 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. 12 + 2y + -8y = 30 + 8y + -8y Combine like terms: 2y + -8y = -6y 12 + -6y = 30 + 8y + -8y Combine like terms: 8y + -8y = 0 12 + -6y = 30 + 0 12 + -6y = 30 Add '-12' to each side of the equation. 12 + -12 + -6y = 30 + -12 Combine like terms: 12 + -12 = 0 0 + -6y = 30 + -12 -6y = 30 + -12 Combine like terms: 30 + -12 = 18 -6y = 18 Divide each side by '-6'. y = -3 Simplifying y = -3
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