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Simplifying 32 + -2(y + -5) + -2z = 3(z + 7) + -10 Reorder the terms: 32 + -2(-5 + y) + -2z = 3(z + 7) + -10 32 + (-5 * -2 + y * -2) + -2z = 3(z + 7) + -10 32 + (10 + -2y) + -2z = 3(z + 7) + -10 Combine like terms: 32 + 10 = 42 42 + -2y + -2z = 3(z + 7) + -10 Reorder the terms: 42 + -2y + -2z = 3(7 + z) + -10 42 + -2y + -2z = (7 * 3 + z * 3) + -10 42 + -2y + -2z = (21 + 3z) + -10 Reorder the terms: 42 + -2y + -2z = 21 + -10 + 3z Combine like terms: 21 + -10 = 11 42 + -2y + -2z = 11 + 3z Solving 42 + -2y + -2z = 11 + 3z Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -2y + -42 + -2z = 11 + -42 + 3z Reorder the terms: 42 + -42 + -2y + -2z = 11 + -42 + 3z Combine like terms: 42 + -42 = 0 0 + -2y + -2z = 11 + -42 + 3z -2y + -2z = 11 + -42 + 3z Combine like terms: 11 + -42 = -31 -2y + -2z = -31 + 3z Add '2z' to each side of the equation. -2y + -2z + 2z = -31 + 3z + 2z Combine like terms: -2z + 2z = 0 -2y + 0 = -31 + 3z + 2z -2y = -31 + 3z + 2z Combine like terms: 3z + 2z = 5z -2y = -31 + 5z Divide each side by '-2'. y = 15.5 + -2.5z Simplifying y = 15.5 + -2.5z
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