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Simplifying -107 + 5y + 8 = 3(5y + -2) + -3 Reorder the terms: -107 + 8 + 5y = 3(5y + -2) + -3 Combine like terms: -107 + 8 = -99 -99 + 5y = 3(5y + -2) + -3 Reorder the terms: -99 + 5y = 3(-2 + 5y) + -3 -99 + 5y = (-2 * 3 + 5y * 3) + -3 -99 + 5y = (-6 + 15y) + -3 Reorder the terms: -99 + 5y = -6 + -3 + 15y Combine like terms: -6 + -3 = -9 -99 + 5y = -9 + 15y Solving -99 + 5y = -9 + 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. -99 + 5y + -15y = -9 + 15y + -15y Combine like terms: 5y + -15y = -10y -99 + -10y = -9 + 15y + -15y Combine like terms: 15y + -15y = 0 -99 + -10y = -9 + 0 -99 + -10y = -9 Add '99' to each side of the equation. -99 + 99 + -10y = -9 + 99 Combine like terms: -99 + 99 = 0 0 + -10y = -9 + 99 -10y = -9 + 99 Combine like terms: -9 + 99 = 90 -10y = 90 Divide each side by '-10'. y = -9 Simplifying y = -9
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