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Simplifying -10y + 18 = -3(5y + -7) + -8 Reorder the terms: 18 + -10y = -3(5y + -7) + -8 Reorder the terms: 18 + -10y = -3(-7 + 5y) + -8 18 + -10y = (-7 * -3 + 5y * -3) + -8 18 + -10y = (21 + -15y) + -8 Reorder the terms: 18 + -10y = 21 + -8 + -15y Combine like terms: 21 + -8 = 13 18 + -10y = 13 + -15y Solving 18 + -10y = 13 + -15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '15y' to each side of the equation. 18 + -10y + 15y = 13 + -15y + 15y Combine like terms: -10y + 15y = 5y 18 + 5y = 13 + -15y + 15y Combine like terms: -15y + 15y = 0 18 + 5y = 13 + 0 18 + 5y = 13 Add '-18' to each side of the equation. 18 + -18 + 5y = 13 + -18 Combine like terms: 18 + -18 = 0 0 + 5y = 13 + -18 5y = 13 + -18 Combine like terms: 13 + -18 = -5 5y = -5 Divide each side by '5'. y = -1 Simplifying y = -1
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