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Simplifying 5(y + -3) + 4y + -1 = 2y + 3(y + -2) Reorder the terms: 5(-3 + y) + 4y + -1 = 2y + 3(y + -2) (-3 * 5 + y * 5) + 4y + -1 = 2y + 3(y + -2) (-15 + 5y) + 4y + -1 = 2y + 3(y + -2) Reorder the terms: -15 + -1 + 5y + 4y = 2y + 3(y + -2) Combine like terms: -15 + -1 = -16 -16 + 5y + 4y = 2y + 3(y + -2) Combine like terms: 5y + 4y = 9y -16 + 9y = 2y + 3(y + -2) Reorder the terms: -16 + 9y = 2y + 3(-2 + y) -16 + 9y = 2y + (-2 * 3 + y * 3) -16 + 9y = 2y + (-6 + 3y) Reorder the terms: -16 + 9y = -6 + 2y + 3y Combine like terms: 2y + 3y = 5y -16 + 9y = -6 + 5y Solving -16 + 9y = -6 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -16 + 9y + -5y = -6 + 5y + -5y Combine like terms: 9y + -5y = 4y -16 + 4y = -6 + 5y + -5y Combine like terms: 5y + -5y = 0 -16 + 4y = -6 + 0 -16 + 4y = -6 Add '16' to each side of the equation. -16 + 16 + 4y = -6 + 16 Combine like terms: -16 + 16 = 0 0 + 4y = -6 + 16 4y = -6 + 16 Combine like terms: -6 + 16 = 10 4y = 10 Divide each side by '4'. y = 2.5 Simplifying y = 2.5
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