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Simplifying 4y + -38 = -2(y + -8) Reorder the terms: -38 + 4y = -2(y + -8) Reorder the terms: -38 + 4y = -2(-8 + y) -38 + 4y = (-8 * -2 + y * -2) -38 + 4y = (16 + -2y) Solving -38 + 4y = 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. -38 + 4y + 2y = 16 + -2y + 2y Combine like terms: 4y + 2y = 6y -38 + 6y = 16 + -2y + 2y Combine like terms: -2y + 2y = 0 -38 + 6y = 16 + 0 -38 + 6y = 16 Add '38' to each side of the equation. -38 + 38 + 6y = 16 + 38 Combine like terms: -38 + 38 = 0 0 + 6y = 16 + 38 6y = 16 + 38 Combine like terms: 16 + 38 = 54 6y = 54 Divide each side by '6'. y = 9 Simplifying y = 9
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