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Simplifying 32 = 15y + -1(4y + -10) Reorder the terms: 32 = 15y + -1(-10 + 4y) 32 = 15y + (-10 * -1 + 4y * -1) 32 = 15y + (10 + -4y) Reorder the terms: 32 = 10 + 15y + -4y Combine like terms: 15y + -4y = 11y 32 = 10 + 11y Solving 32 = 10 + 11y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-11y' to each side of the equation. 32 + -11y = 10 + 11y + -11y Combine like terms: 11y + -11y = 0 32 + -11y = 10 + 0 32 + -11y = 10 Add '-32' to each side of the equation. 32 + -32 + -11y = 10 + -32 Combine like terms: 32 + -32 = 0 0 + -11y = 10 + -32 -11y = 10 + -32 Combine like terms: 10 + -32 = -22 -11y = -22 Divide each side by '-11'. y = 2 Simplifying y = 2
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