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Simplifying 6 + -3(2y + 5) = -4y + 6 + -1y Reorder the terms: 6 + -3(5 + 2y) = -4y + 6 + -1y 6 + (5 * -3 + 2y * -3) = -4y + 6 + -1y 6 + (-15 + -6y) = -4y + 6 + -1y Combine like terms: 6 + -15 = -9 -9 + -6y = -4y + 6 + -1y Reorder the terms: -9 + -6y = 6 + -4y + -1y Combine like terms: -4y + -1y = -5y -9 + -6y = 6 + -5y Solving -9 + -6y = 6 + -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. -9 + -6y + 5y = 6 + -5y + 5y Combine like terms: -6y + 5y = -1y -9 + -1y = 6 + -5y + 5y Combine like terms: -5y + 5y = 0 -9 + -1y = 6 + 0 -9 + -1y = 6 Add '9' to each side of the equation. -9 + 9 + -1y = 6 + 9 Combine like terms: -9 + 9 = 0 0 + -1y = 6 + 9 -1y = 6 + 9 Combine like terms: 6 + 9 = 15 -1y = 15 Divide each side by '-1'. y = -15 Simplifying y = -15
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