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Simplifying 34 = 6y + 4(y + -4) Reorder the terms: 34 = 6y + 4(-4 + y) 34 = 6y + (-4 * 4 + y * 4) 34 = 6y + (-16 + 4y) Reorder the terms: 34 = -16 + 6y + 4y Combine like terms: 6y + 4y = 10y 34 = -16 + 10y Solving 34 = -16 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 34 + -10y = -16 + 10y + -10y Combine like terms: 10y + -10y = 0 34 + -10y = -16 + 0 34 + -10y = -16 Add '-34' to each side of the equation. 34 + -34 + -10y = -16 + -34 Combine like terms: 34 + -34 = 0 0 + -10y = -16 + -34 -10y = -16 + -34 Combine like terms: -16 + -34 = -50 -10y = -50 Divide each side by '-10'. y = 5 Simplifying y = 5
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