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Simplifying 5(y + -6) + -2 = -4(-6y + 4) + -9y Reorder the terms: 5(-6 + y) + -2 = -4(-6y + 4) + -9y (-6 * 5 + y * 5) + -2 = -4(-6y + 4) + -9y (-30 + 5y) + -2 = -4(-6y + 4) + -9y Reorder the terms: -30 + -2 + 5y = -4(-6y + 4) + -9y Combine like terms: -30 + -2 = -32 -32 + 5y = -4(-6y + 4) + -9y Reorder the terms: -32 + 5y = -4(4 + -6y) + -9y -32 + 5y = (4 * -4 + -6y * -4) + -9y -32 + 5y = (-16 + 24y) + -9y Combine like terms: 24y + -9y = 15y -32 + 5y = -16 + 15y Solving -32 + 5y = -16 + 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. -32 + 5y + -15y = -16 + 15y + -15y Combine like terms: 5y + -15y = -10y -32 + -10y = -16 + 15y + -15y Combine like terms: 15y + -15y = 0 -32 + -10y = -16 + 0 -32 + -10y = -16 Add '32' to each side of the equation. -32 + 32 + -10y = -16 + 32 Combine like terms: -32 + 32 = 0 0 + -10y = -16 + 32 -10y = -16 + 32 Combine like terms: -16 + 32 = 16 -10y = 16 Divide each side by '-10'. y = -1.6 Simplifying y = -1.6
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