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Simplifying -5y + 10 = -2(2y + 7) Reorder the terms: 10 + -5y = -2(2y + 7) Reorder the terms: 10 + -5y = -2(7 + 2y) 10 + -5y = (7 * -2 + 2y * -2) 10 + -5y = (-14 + -4y) Solving 10 + -5y = -14 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 10 + -5y + 4y = -14 + -4y + 4y Combine like terms: -5y + 4y = -1y 10 + -1y = -14 + -4y + 4y Combine like terms: -4y + 4y = 0 10 + -1y = -14 + 0 10 + -1y = -14 Add '-10' to each side of the equation. 10 + -10 + -1y = -14 + -10 Combine like terms: 10 + -10 = 0 0 + -1y = -14 + -10 -1y = -14 + -10 Combine like terms: -14 + -10 = -24 -1y = -24 Divide each side by '-1'. y = 24 Simplifying y = 24
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