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Simplifying -4y + 38 = 2(y + -2) Reorder the terms: 38 + -4y = 2(y + -2) Reorder the terms: 38 + -4y = 2(-2 + y) 38 + -4y = (-2 * 2 + y * 2) 38 + -4y = (-4 + 2y) Solving 38 + -4y = -4 + 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 = -4 + 2y + -2y Combine like terms: -4y + -2y = -6y 38 + -6y = -4 + 2y + -2y Combine like terms: 2y + -2y = 0 38 + -6y = -4 + 0 38 + -6y = -4 Add '-38' to each side of the equation. 38 + -38 + -6y = -4 + -38 Combine like terms: 38 + -38 = 0 0 + -6y = -4 + -38 -6y = -4 + -38 Combine like terms: -4 + -38 = -42 -6y = -42 Divide each side by '-6'. y = 7 Simplifying y = 7
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