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Simplifying 5(2y + 3) + -3y = -2(4y + 1) + -13 Reorder the terms: 5(3 + 2y) + -3y = -2(4y + 1) + -13 (3 * 5 + 2y * 5) + -3y = -2(4y + 1) + -13 (15 + 10y) + -3y = -2(4y + 1) + -13 Combine like terms: 10y + -3y = 7y 15 + 7y = -2(4y + 1) + -13 Reorder the terms: 15 + 7y = -2(1 + 4y) + -13 15 + 7y = (1 * -2 + 4y * -2) + -13 15 + 7y = (-2 + -8y) + -13 Reorder the terms: 15 + 7y = -2 + -13 + -8y Combine like terms: -2 + -13 = -15 15 + 7y = -15 + -8y Solving 15 + 7y = -15 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 15 + 7y + 8y = -15 + -8y + 8y Combine like terms: 7y + 8y = 15y 15 + 15y = -15 + -8y + 8y Combine like terms: -8y + 8y = 0 15 + 15y = -15 + 0 15 + 15y = -15 Add '-15' to each side of the equation. 15 + -15 + 15y = -15 + -15 Combine like terms: 15 + -15 = 0 0 + 15y = -15 + -15 15y = -15 + -15 Combine like terms: -15 + -15 = -30 15y = -30 Divide each side by '15'. y = -2 Simplifying y = -2
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