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Simplifying 6y + -2 = 2(1[y + -7] * 1) Reorder the terms: -2 + 6y = 2(1[y + -7] * 1) Reorder the terms: -2 + 6y = 2(1[-7 + y] * 1) Reorder the terms for easier multiplication: -2 + 6y = 2(1 * 1[-7 + y]) Multiply 1 * 1 -2 + 6y = 2(1[-7 + y]) -2 + 6y = 2([-7 * 1 + y * 1]) -2 + 6y = 2([-7 + 1y]) -2 + 6y = (-7 * 2 + 1y * 2) -2 + 6y = (-14 + 2y) Solving -2 + 6y = -14 + 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. -2 + 6y + -2y = -14 + 2y + -2y Combine like terms: 6y + -2y = 4y -2 + 4y = -14 + 2y + -2y Combine like terms: 2y + -2y = 0 -2 + 4y = -14 + 0 -2 + 4y = -14 Add '2' to each side of the equation. -2 + 2 + 4y = -14 + 2 Combine like terms: -2 + 2 = 0 0 + 4y = -14 + 2 4y = -14 + 2 Combine like terms: -14 + 2 = -12 4y = -12 Divide each side by '4'. y = -3 Simplifying y = -3
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