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Simplifying -30 + 5y + 6 = 2(4y + -2) + -5 Reorder the terms: -30 + 6 + 5y = 2(4y + -2) + -5 Combine like terms: -30 + 6 = -24 -24 + 5y = 2(4y + -2) + -5 Reorder the terms: -24 + 5y = 2(-2 + 4y) + -5 -24 + 5y = (-2 * 2 + 4y * 2) + -5 -24 + 5y = (-4 + 8y) + -5 Reorder the terms: -24 + 5y = -4 + -5 + 8y Combine like terms: -4 + -5 = -9 -24 + 5y = -9 + 8y Solving -24 + 5y = -9 + 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. -24 + 5y + -8y = -9 + 8y + -8y Combine like terms: 5y + -8y = -3y -24 + -3y = -9 + 8y + -8y Combine like terms: 8y + -8y = 0 -24 + -3y = -9 + 0 -24 + -3y = -9 Add '24' to each side of the equation. -24 + 24 + -3y = -9 + 24 Combine like terms: -24 + 24 = 0 0 + -3y = -9 + 24 -3y = -9 + 24 Combine like terms: -9 + 24 = 15 -3y = 15 Divide each side by '-3'. y = -5 Simplifying y = -5
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