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Simplifying 5(2 + -3y) + -15 = 2y + -3 (2 * 5 + -3y * 5) + -15 = 2y + -3 (10 + -15y) + -15 = 2y + -3 Reorder the terms: 10 + -15 + -15y = 2y + -3 Combine like terms: 10 + -15 = -5 -5 + -15y = 2y + -3 Reorder the terms: -5 + -15y = -3 + 2y Solving -5 + -15y = -3 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -5 + -15y + -2y = -3 + 2y + -2y Combine like terms: -15y + -2y = -17y -5 + -17y = -3 + 2y + -2y Combine like terms: 2y + -2y = 0 -5 + -17y = -3 + 0 -5 + -17y = -3 Add '5' to each side of the equation. -5 + 5 + -17y = -3 + 5 Combine like terms: -5 + 5 = 0 0 + -17y = -3 + 5 -17y = -3 + 5 Combine like terms: -3 + 5 = 2 -17y = 2 Divide each side by '-17'. y = -0.1176470588 Simplifying y = -0.1176470588
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