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Simplifying 4(2y + -1) = 5(3y + 1) Reorder the terms: 4(-1 + 2y) = 5(3y + 1) (-1 * 4 + 2y * 4) = 5(3y + 1) (-4 + 8y) = 5(3y + 1) Reorder the terms: -4 + 8y = 5(1 + 3y) -4 + 8y = (1 * 5 + 3y * 5) -4 + 8y = (5 + 15y) Solving -4 + 8y = 5 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. -4 + 8y + -15y = 5 + 15y + -15y Combine like terms: 8y + -15y = -7y -4 + -7y = 5 + 15y + -15y Combine like terms: 15y + -15y = 0 -4 + -7y = 5 + 0 -4 + -7y = 5 Add '4' to each side of the equation. -4 + 4 + -7y = 5 + 4 Combine like terms: -4 + 4 = 0 0 + -7y = 5 + 4 -7y = 5 + 4 Combine like terms: 5 + 4 = 9 -7y = 9 Divide each side by '-7'. y = -1.285714286 Simplifying y = -1.285714286
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