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Simplifying -34 = -5y + 7(y + -4) Reorder the terms: -34 = -5y + 7(-4 + y) -34 = -5y + (-4 * 7 + y * 7) -34 = -5y + (-28 + 7y) Reorder the terms: -34 = -28 + -5y + 7y Combine like terms: -5y + 7y = 2y -34 = -28 + 2y Solving -34 = -28 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -34 + -2y = -28 + 2y + -2y Combine like terms: 2y + -2y = 0 -34 + -2y = -28 + 0 -34 + -2y = -28 Add '34' to each side of the equation. -34 + 34 + -2y = -28 + 34 Combine like terms: -34 + 34 = 0 0 + -2y = -28 + 34 -2y = -28 + 34 Combine like terms: -28 + 34 = 6 -2y = 6 Divide each side by '-2'. y = -3 Simplifying y = -3
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