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Simplifying 5(y + -3) + 2 = 4(2y + 5) Reorder the terms: 5(-3 + y) + 2 = 4(2y + 5) (-3 * 5 + y * 5) + 2 = 4(2y + 5) (-15 + 5y) + 2 = 4(2y + 5) Reorder the terms: -15 + 2 + 5y = 4(2y + 5) Combine like terms: -15 + 2 = -13 -13 + 5y = 4(2y + 5) Reorder the terms: -13 + 5y = 4(5 + 2y) -13 + 5y = (5 * 4 + 2y * 4) -13 + 5y = (20 + 8y) Solving -13 + 5y = 20 + 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. -13 + 5y + -8y = 20 + 8y + -8y Combine like terms: 5y + -8y = -3y -13 + -3y = 20 + 8y + -8y Combine like terms: 8y + -8y = 0 -13 + -3y = 20 + 0 -13 + -3y = 20 Add '13' to each side of the equation. -13 + 13 + -3y = 20 + 13 Combine like terms: -13 + 13 = 0 0 + -3y = 20 + 13 -3y = 20 + 13 Combine like terms: 20 + 13 = 33 -3y = 33 Divide each side by '-3'. y = -11 Simplifying y = -11
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