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Simplifying 5(2y + -3) + -15 = -1y + -7 Reorder the terms: 5(-3 + 2y) + -15 = -1y + -7 (-3 * 5 + 2y * 5) + -15 = -1y + -7 (-15 + 10y) + -15 = -1y + -7 Reorder the terms: -15 + -15 + 10y = -1y + -7 Combine like terms: -15 + -15 = -30 -30 + 10y = -1y + -7 Reorder the terms: -30 + 10y = -7 + -1y Solving -30 + 10y = -7 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. -30 + 10y + y = -7 + -1y + y Combine like terms: 10y + y = 11y -30 + 11y = -7 + -1y + y Combine like terms: -1y + y = 0 -30 + 11y = -7 + 0 -30 + 11y = -7 Add '30' to each side of the equation. -30 + 30 + 11y = -7 + 30 Combine like terms: -30 + 30 = 0 0 + 11y = -7 + 30 11y = -7 + 30 Combine like terms: -7 + 30 = 23 11y = 23 Divide each side by '11'. y = 2.090909091 Simplifying y = 2.090909091
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