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Simplifying 7y + -2 = 3(1[y + 6] * 1) Reorder the terms: -2 + 7y = 3(1[y + 6] * 1) Reorder the terms: -2 + 7y = 3(1[6 + y] * 1) Reorder the terms for easier multiplication: -2 + 7y = 3(1 * 1[6 + y]) Multiply 1 * 1 -2 + 7y = 3(1[6 + y]) -2 + 7y = 3([6 * 1 + y * 1]) -2 + 7y = 3([6 + 1y]) -2 + 7y = (6 * 3 + 1y * 3) -2 + 7y = (18 + 3y) Solving -2 + 7y = 18 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -2 + 7y + -3y = 18 + 3y + -3y Combine like terms: 7y + -3y = 4y -2 + 4y = 18 + 3y + -3y Combine like terms: 3y + -3y = 0 -2 + 4y = 18 + 0 -2 + 4y = 18 Add '2' to each side of the equation. -2 + 2 + 4y = 18 + 2 Combine like terms: -2 + 2 = 0 0 + 4y = 18 + 2 4y = 18 + 2 Combine like terms: 18 + 2 = 20 4y = 20 Divide each side by '4'. y = 5 Simplifying y = 5
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