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Simplifying 5(y + -2) + -9 = -7(-4y + 1) + -8y Reorder the terms: 5(-2 + y) + -9 = -7(-4y + 1) + -8y (-2 * 5 + y * 5) + -9 = -7(-4y + 1) + -8y (-10 + 5y) + -9 = -7(-4y + 1) + -8y Reorder the terms: -10 + -9 + 5y = -7(-4y + 1) + -8y Combine like terms: -10 + -9 = -19 -19 + 5y = -7(-4y + 1) + -8y Reorder the terms: -19 + 5y = -7(1 + -4y) + -8y -19 + 5y = (1 * -7 + -4y * -7) + -8y -19 + 5y = (-7 + 28y) + -8y Combine like terms: 28y + -8y = 20y -19 + 5y = -7 + 20y Solving -19 + 5y = -7 + 20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20y' to each side of the equation. -19 + 5y + -20y = -7 + 20y + -20y Combine like terms: 5y + -20y = -15y -19 + -15y = -7 + 20y + -20y Combine like terms: 20y + -20y = 0 -19 + -15y = -7 + 0 -19 + -15y = -7 Add '19' to each side of the equation. -19 + 19 + -15y = -7 + 19 Combine like terms: -19 + 19 = 0 0 + -15y = -7 + 19 -15y = -7 + 19 Combine like terms: -7 + 19 = 12 -15y = 12 Divide each side by '-15'. y = -0.8 Simplifying y = -0.8
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