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Simplifying -10y + 107 = 3(y + 1) Reorder the terms: 107 + -10y = 3(y + 1) Reorder the terms: 107 + -10y = 3(1 + y) 107 + -10y = (1 * 3 + y * 3) 107 + -10y = (3 + 3y) Solving 107 + -10y = 3 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 107 + -10y + -3y = 3 + 3y + -3y Combine like terms: -10y + -3y = -13y 107 + -13y = 3 + 3y + -3y Combine like terms: 3y + -3y = 0 107 + -13y = 3 + 0 107 + -13y = 3 Add '-107' to each side of the equation. 107 + -107 + -13y = 3 + -107 Combine like terms: 107 + -107 = 0 0 + -13y = 3 + -107 -13y = 3 + -107 Combine like terms: 3 + -107 = -104 -13y = -104 Divide each side by '-13'. y = 8 Simplifying y = 8
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