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Simplifying 5(-3) + 2 = 4(2y + 5) Multiply 5 * -3 -15 + 2 = 4(2y + 5) Combine like terms: -15 + 2 = -13 -13 = 4(2y + 5) Reorder the terms: -13 = 4(5 + 2y) -13 = (5 * 4 + 2y * 4) -13 = (20 + 8y) Solving -13 = 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 + -8y = 20 + 8y + -8y Combine like terms: 8y + -8y = 0 -13 + -8y = 20 + 0 -13 + -8y = 20 Add '13' to each side of the equation. -13 + 13 + -8y = 20 + 13 Combine like terms: -13 + 13 = 0 0 + -8y = 20 + 13 -8y = 20 + 13 Combine like terms: 20 + 13 = 33 -8y = 33 Divide each side by '-8'. y = -4.125 Simplifying y = -4.125
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