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Simplifying -5y + -34 = 2(y + 2) Reorder the terms: -34 + -5y = 2(y + 2) Reorder the terms: -34 + -5y = 2(2 + y) -34 + -5y = (2 * 2 + y * 2) -34 + -5y = (4 + 2y) Solving -34 + -5y = 4 + 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 + -5y + -2y = 4 + 2y + -2y Combine like terms: -5y + -2y = -7y -34 + -7y = 4 + 2y + -2y Combine like terms: 2y + -2y = 0 -34 + -7y = 4 + 0 -34 + -7y = 4 Add '34' to each side of the equation. -34 + 34 + -7y = 4 + 34 Combine like terms: -34 + 34 = 0 0 + -7y = 4 + 34 -7y = 4 + 34 Combine like terms: 4 + 34 = 38 -7y = 38 Divide each side by '-7'. y = -5.428571429 Simplifying y = -5.428571429
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