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Simplifying -5y + 19 = 2(y + -8) Reorder the terms: 19 + -5y = 2(y + -8) Reorder the terms: 19 + -5y = 2(-8 + y) 19 + -5y = (-8 * 2 + y * 2) 19 + -5y = (-16 + 2y) Solving 19 + -5y = -16 + 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. 19 + -5y + -2y = -16 + 2y + -2y Combine like terms: -5y + -2y = -7y 19 + -7y = -16 + 2y + -2y Combine like terms: 2y + -2y = 0 19 + -7y = -16 + 0 19 + -7y = -16 Add '-19' to each side of the equation. 19 + -19 + -7y = -16 + -19 Combine like terms: 19 + -19 = 0 0 + -7y = -16 + -19 -7y = -16 + -19 Combine like terms: -16 + -19 = -35 -7y = -35 Divide each side by '-7'. y = 5 Simplifying y = 5
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