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Simplifying 9y + -38 = 5(1[y + -2] * 1) Reorder the terms: -38 + 9y = 5(1[y + -2] * 1) Reorder the terms: -38 + 9y = 5(1[-2 + y] * 1) Reorder the terms for easier multiplication: -38 + 9y = 5(1 * 1[-2 + y]) Multiply 1 * 1 -38 + 9y = 5(1[-2 + y]) -38 + 9y = 5([-2 * 1 + y * 1]) -38 + 9y = 5([-2 + 1y]) -38 + 9y = (-2 * 5 + 1y * 5) -38 + 9y = (-10 + 5y) Solving -38 + 9y = -10 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -38 + 9y + -5y = -10 + 5y + -5y Combine like terms: 9y + -5y = 4y -38 + 4y = -10 + 5y + -5y Combine like terms: 5y + -5y = 0 -38 + 4y = -10 + 0 -38 + 4y = -10 Add '38' to each side of the equation. -38 + 38 + 4y = -10 + 38 Combine like terms: -38 + 38 = 0 0 + 4y = -10 + 38 4y = -10 + 38 Combine like terms: -10 + 38 = 28 4y = 28 Divide each side by '4'. y = 7 Simplifying y = 7
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