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Simplifying y + -45 = 3y + 7 Reorder the terms: -45 + y = 3y + 7 Reorder the terms: -45 + y = 7 + 3y Solving -45 + y = 7 + 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. -45 + y + -3y = 7 + 3y + -3y Combine like terms: y + -3y = -2y -45 + -2y = 7 + 3y + -3y Combine like terms: 3y + -3y = 0 -45 + -2y = 7 + 0 -45 + -2y = 7 Add '45' to each side of the equation. -45 + 45 + -2y = 7 + 45 Combine like terms: -45 + 45 = 0 0 + -2y = 7 + 45 -2y = 7 + 45 Combine like terms: 7 + 45 = 52 -2y = 52 Divide each side by '-2'. y = -26 Simplifying y = -26
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