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Simplifying 5(y + -3) = 7y + 1 + -2(-4y + -1) Reorder the terms: 5(-3 + y) = 7y + 1 + -2(-4y + -1) (-3 * 5 + y * 5) = 7y + 1 + -2(-4y + -1) (-15 + 5y) = 7y + 1 + -2(-4y + -1) Reorder the terms: -15 + 5y = 7y + 1 + -2(-1 + -4y) -15 + 5y = 7y + 1 + (-1 * -2 + -4y * -2) -15 + 5y = 7y + 1 + (2 + 8y) Reorder the terms: -15 + 5y = 1 + 2 + 7y + 8y Combine like terms: 1 + 2 = 3 -15 + 5y = 3 + 7y + 8y Combine like terms: 7y + 8y = 15y -15 + 5y = 3 + 15y Solving -15 + 5y = 3 + 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. -15 + 5y + -15y = 3 + 15y + -15y Combine like terms: 5y + -15y = -10y -15 + -10y = 3 + 15y + -15y Combine like terms: 15y + -15y = 0 -15 + -10y = 3 + 0 -15 + -10y = 3 Add '15' to each side of the equation. -15 + 15 + -10y = 3 + 15 Combine like terms: -15 + 15 = 0 0 + -10y = 3 + 15 -10y = 3 + 15 Combine like terms: 3 + 15 = 18 -10y = 18 Divide each side by '-10'. y = -1.8 Simplifying y = -1.8
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