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Simplifying 9y + -38 = 2(y + -5) Reorder the terms: -38 + 9y = 2(y + -5) Reorder the terms: -38 + 9y = 2(-5 + y) -38 + 9y = (-5 * 2 + y * 2) -38 + 9y = (-10 + 2y) Solving -38 + 9y = -10 + 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. -38 + 9y + -2y = -10 + 2y + -2y Combine like terms: 9y + -2y = 7y -38 + 7y = -10 + 2y + -2y Combine like terms: 2y + -2y = 0 -38 + 7y = -10 + 0 -38 + 7y = -10 Add '38' to each side of the equation. -38 + 38 + 7y = -10 + 38 Combine like terms: -38 + 38 = 0 0 + 7y = -10 + 38 7y = -10 + 38 Combine like terms: -10 + 38 = 28 7y = 28 Divide each side by '7'. y = 4 Simplifying y = 4
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