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Simplifying -42 + 5y + 6 = 2(4y + -3) + -9 Reorder the terms: -42 + 6 + 5y = 2(4y + -3) + -9 Combine like terms: -42 + 6 = -36 -36 + 5y = 2(4y + -3) + -9 Reorder the terms: -36 + 5y = 2(-3 + 4y) + -9 -36 + 5y = (-3 * 2 + 4y * 2) + -9 -36 + 5y = (-6 + 8y) + -9 Reorder the terms: -36 + 5y = -6 + -9 + 8y Combine like terms: -6 + -9 = -15 -36 + 5y = -15 + 8y Solving -36 + 5y = -15 + 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. -36 + 5y + -8y = -15 + 8y + -8y Combine like terms: 5y + -8y = -3y -36 + -3y = -15 + 8y + -8y Combine like terms: 8y + -8y = 0 -36 + -3y = -15 + 0 -36 + -3y = -15 Add '36' to each side of the equation. -36 + 36 + -3y = -15 + 36 Combine like terms: -36 + 36 = 0 0 + -3y = -15 + 36 -3y = -15 + 36 Combine like terms: -15 + 36 = 21 -3y = 21 Divide each side by '-3'. y = -7 Simplifying y = -7
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