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Simplifying 7y + 3(z + -6) = 5(y + 2) + -5 Reorder the terms: 7y + 3(-6 + z) = 5(y + 2) + -5 7y + (-6 * 3 + z * 3) = 5(y + 2) + -5 7y + (-18 + 3z) = 5(y + 2) + -5 Reorder the terms: -18 + 7y + 3z = 5(y + 2) + -5 Reorder the terms: -18 + 7y + 3z = 5(2 + y) + -5 -18 + 7y + 3z = (2 * 5 + y * 5) + -5 -18 + 7y + 3z = (10 + 5y) + -5 Reorder the terms: -18 + 7y + 3z = 10 + -5 + 5y Combine like terms: 10 + -5 = 5 -18 + 7y + 3z = 5 + 5y Solving -18 + 7y + 3z = 5 + 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. -18 + 7y + -5y + 3z = 5 + 5y + -5y Combine like terms: 7y + -5y = 2y -18 + 2y + 3z = 5 + 5y + -5y Combine like terms: 5y + -5y = 0 -18 + 2y + 3z = 5 + 0 -18 + 2y + 3z = 5 Add '18' to each side of the equation. -18 + 2y + 18 + 3z = 5 + 18 Reorder the terms: -18 + 18 + 2y + 3z = 5 + 18 Combine like terms: -18 + 18 = 0 0 + 2y + 3z = 5 + 18 2y + 3z = 5 + 18 Combine like terms: 5 + 18 = 23 2y + 3z = 23 Add '-3z' to each side of the equation. 2y + 3z + -3z = 23 + -3z Combine like terms: 3z + -3z = 0 2y + 0 = 23 + -3z 2y = 23 + -3z Divide each side by '2'. y = 11.5 + -1.5z Simplifying y = 11.5 + -1.5z
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