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Simplifying 8y + -38 = 2(y + -4) Reorder the terms: -38 + 8y = 2(y + -4) Reorder the terms: -38 + 8y = 2(-4 + y) -38 + 8y = (-4 * 2 + y * 2) -38 + 8y = (-8 + 2y) Solving -38 + 8y = -8 + 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 + 8y + -2y = -8 + 2y + -2y Combine like terms: 8y + -2y = 6y -38 + 6y = -8 + 2y + -2y Combine like terms: 2y + -2y = 0 -38 + 6y = -8 + 0 -38 + 6y = -8 Add '38' to each side of the equation. -38 + 38 + 6y = -8 + 38 Combine like terms: -38 + 38 = 0 0 + 6y = -8 + 38 6y = -8 + 38 Combine like terms: -8 + 38 = 30 6y = 30 Divide each side by '6'. y = 5 Simplifying y = 5
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