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Simplifying [(2x + 8) * 2] + [(2y + -5) * 5] = 93 Reorder the terms: [(8 + 2x) * 2] + [(2y + -5) * 5] = 93 Reorder the terms for easier multiplication: [2(8 + 2x)] + [(2y + -5) * 5] = 93 [(8 * 2 + 2x * 2)] + [(2y + -5) * 5] = 93 [(16 + 4x)] + [(2y + -5) * 5] = 93 [16 + 4x] + [(2y + -5) * 5] = 93 Remove brackets around [16 + 4x] 16 + 4x + [(2y + -5) * 5] = 93 Reorder the terms: 16 + 4x + [(-5 + 2y) * 5] = 93 Reorder the terms for easier multiplication: 16 + 4x + [5(-5 + 2y)] = 93 16 + 4x + [(-5 * 5 + 2y * 5)] = 93 16 + 4x + [(-25 + 10y)] = 93 16 + 4x + [-25 + 10y] = 93 Remove brackets around [-25 + 10y] 16 + 4x + -25 + 10y = 93 Reorder the terms: 16 + -25 + 4x + 10y = 93 Combine like terms: 16 + -25 = -9 -9 + 4x + 10y = 93 Solving -9 + 4x + 10y = 93 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 4x + 9 + 10y = 93 + 9 Reorder the terms: -9 + 9 + 4x + 10y = 93 + 9 Combine like terms: -9 + 9 = 0 0 + 4x + 10y = 93 + 9 4x + 10y = 93 + 9 Combine like terms: 93 + 9 = 102 4x + 10y = 102 Add '-10y' to each side of the equation. 4x + 10y + -10y = 102 + -10y Combine like terms: 10y + -10y = 0 4x + 0 = 102 + -10y 4x = 102 + -10y Divide each side by '4'. x = 25.5 + -2.5y Simplifying x = 25.5 + -2.5y
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