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Simplifying -2y + 34 = 2(y + -3) Reorder the terms: 34 + -2y = 2(y + -3) Reorder the terms: 34 + -2y = 2(-3 + y) 34 + -2y = (-3 * 2 + y * 2) 34 + -2y = (-6 + 2y) Solving 34 + -2y = -6 + 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 + -2y = -6 + 2y + -2y Combine like terms: -2y + -2y = -4y 34 + -4y = -6 + 2y + -2y Combine like terms: 2y + -2y = 0 34 + -4y = -6 + 0 34 + -4y = -6 Add '-34' to each side of the equation. 34 + -34 + -4y = -6 + -34 Combine like terms: 34 + -34 = 0 0 + -4y = -6 + -34 -4y = -6 + -34 Combine like terms: -6 + -34 = -40 -4y = -40 Divide each side by '-4'. y = 10 Simplifying y = 10
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