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Simplifying 5(2y + -3) = 5 + 3(3y + -7) Reorder the terms: 5(-3 + 2y) = 5 + 3(3y + -7) (-3 * 5 + 2y * 5) = 5 + 3(3y + -7) (-15 + 10y) = 5 + 3(3y + -7) Reorder the terms: -15 + 10y = 5 + 3(-7 + 3y) -15 + 10y = 5 + (-7 * 3 + 3y * 3) -15 + 10y = 5 + (-21 + 9y) Combine like terms: 5 + -21 = -16 -15 + 10y = -16 + 9y Solving -15 + 10y = -16 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -15 + 10y + -9y = -16 + 9y + -9y Combine like terms: 10y + -9y = 1y -15 + 1y = -16 + 9y + -9y Combine like terms: 9y + -9y = 0 -15 + 1y = -16 + 0 -15 + 1y = -16 Add '15' to each side of the equation. -15 + 15 + 1y = -16 + 15 Combine like terms: -15 + 15 = 0 0 + 1y = -16 + 15 1y = -16 + 15 Combine like terms: -16 + 15 = -1 1y = -1 Divide each side by '1'. y = -1 Simplifying y = -1
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