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Simplifying -34 + 5y + 9 = 2(4y + -2) + -3 Reorder the terms: -34 + 9 + 5y = 2(4y + -2) + -3 Combine like terms: -34 + 9 = -25 -25 + 5y = 2(4y + -2) + -3 Reorder the terms: -25 + 5y = 2(-2 + 4y) + -3 -25 + 5y = (-2 * 2 + 4y * 2) + -3 -25 + 5y = (-4 + 8y) + -3 Reorder the terms: -25 + 5y = -4 + -3 + 8y Combine like terms: -4 + -3 = -7 -25 + 5y = -7 + 8y Solving -25 + 5y = -7 + 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. -25 + 5y + -8y = -7 + 8y + -8y Combine like terms: 5y + -8y = -3y -25 + -3y = -7 + 8y + -8y Combine like terms: 8y + -8y = 0 -25 + -3y = -7 + 0 -25 + -3y = -7 Add '25' to each side of the equation. -25 + 25 + -3y = -7 + 25 Combine like terms: -25 + 25 = 0 0 + -3y = -7 + 25 -3y = -7 + 25 Combine like terms: -7 + 25 = 18 -3y = 18 Divide each side by '-3'. y = -6 Simplifying y = -6
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