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Simplifying 2y + -3 = 5(3y + 2) Reorder the terms: -3 + 2y = 5(3y + 2) Reorder the terms: -3 + 2y = 5(2 + 3y) -3 + 2y = (2 * 5 + 3y * 5) -3 + 2y = (10 + 15y) Solving -3 + 2y = 10 + 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. -3 + 2y + -15y = 10 + 15y + -15y Combine like terms: 2y + -15y = -13y -3 + -13y = 10 + 15y + -15y Combine like terms: 15y + -15y = 0 -3 + -13y = 10 + 0 -3 + -13y = 10 Add '3' to each side of the equation. -3 + 3 + -13y = 10 + 3 Combine like terms: -3 + 3 = 0 0 + -13y = 10 + 3 -13y = 10 + 3 Combine like terms: 10 + 3 = 13 -13y = 13 Divide each side by '-13'. y = -1 Simplifying y = -1
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