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Simplifying 5(3x + -2) = y + -10(x + 1) Reorder the terms: 5(-2 + 3x) = y + -10(x + 1) (-2 * 5 + 3x * 5) = y + -10(x + 1) (-10 + 15x) = y + -10(x + 1) Reorder the terms: -10 + 15x = y + -10(1 + x) -10 + 15x = y + (1 * -10 + x * -10) -10 + 15x = y + (-10 + -10x) Reorder the terms: -10 + 15x = -10 + -10x + y Add '10' to each side of the equation. -10 + 10 + 15x = -10 + -10x + 10 + y Combine like terms: -10 + 10 = 0 0 + 15x = -10 + -10x + 10 + y 15x = -10 + -10x + 10 + y Reorder the terms: 15x = -10 + 10 + -10x + y Combine like terms: -10 + 10 = 0 15x = 0 + -10x + y 15x = -10x + y Solving 15x = -10x + y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 15x + 10x = -10x + 10x + y Combine like terms: 15x + 10x = 25x 25x = -10x + 10x + y Combine like terms: -10x + 10x = 0 25x = 0 + y 25x = y Divide each side by '25'. x = 0.04y Simplifying x = 0.04y
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