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Simplifying -3y + 10(-5y + 1) = -2y + 10 Reorder the terms: -3y + 10(1 + -5y) = -2y + 10 -3y + (1 * 10 + -5y * 10) = -2y + 10 -3y + (10 + -50y) = -2y + 10 Reorder the terms: 10 + -3y + -50y = -2y + 10 Combine like terms: -3y + -50y = -53y 10 + -53y = -2y + 10 Reorder the terms: 10 + -53y = 10 + -2y Add '-10' to each side of the equation. 10 + -10 + -53y = 10 + -10 + -2y Combine like terms: 10 + -10 = 0 0 + -53y = 10 + -10 + -2y -53y = 10 + -10 + -2y Combine like terms: 10 + -10 = 0 -53y = 0 + -2y -53y = -2y Solving -53y = -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -53y + 2y = -2y + 2y Combine like terms: -53y + 2y = -51y -51y = -2y + 2y Combine like terms: -2y + 2y = 0 -51y = 0 Divide each side by '-51'. y = 0 Simplifying y = 0
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