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Simplifying -109 + 5y + 7 = 3(5y + -3) + -3 Reorder the terms: -109 + 7 + 5y = 3(5y + -3) + -3 Combine like terms: -109 + 7 = -102 -102 + 5y = 3(5y + -3) + -3 Reorder the terms: -102 + 5y = 3(-3 + 5y) + -3 -102 + 5y = (-3 * 3 + 5y * 3) + -3 -102 + 5y = (-9 + 15y) + -3 Reorder the terms: -102 + 5y = -9 + -3 + 15y Combine like terms: -9 + -3 = -12 -102 + 5y = -12 + 15y Solving -102 + 5y = -12 + 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. -102 + 5y + -15y = -12 + 15y + -15y Combine like terms: 5y + -15y = -10y -102 + -10y = -12 + 15y + -15y Combine like terms: 15y + -15y = 0 -102 + -10y = -12 + 0 -102 + -10y = -12 Add '102' to each side of the equation. -102 + 102 + -10y = -12 + 102 Combine like terms: -102 + 102 = 0 0 + -10y = -12 + 102 -10y = -12 + 102 Combine like terms: -12 + 102 = 90 -10y = 90 Divide each side by '-10'. y = -9 Simplifying y = -9
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