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Simplifying 4(y + -9) + -2 = -3(-5y + 8) + -7y Reorder the terms: 4(-9 + y) + -2 = -3(-5y + 8) + -7y (-9 * 4 + y * 4) + -2 = -3(-5y + 8) + -7y (-36 + 4y) + -2 = -3(-5y + 8) + -7y Reorder the terms: -36 + -2 + 4y = -3(-5y + 8) + -7y Combine like terms: -36 + -2 = -38 -38 + 4y = -3(-5y + 8) + -7y Reorder the terms: -38 + 4y = -3(8 + -5y) + -7y -38 + 4y = (8 * -3 + -5y * -3) + -7y -38 + 4y = (-24 + 15y) + -7y Combine like terms: 15y + -7y = 8y -38 + 4y = -24 + 8y Solving -38 + 4y = -24 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -38 + 4y + -8y = -24 + 8y + -8y Combine like terms: 4y + -8y = -4y -38 + -4y = -24 + 8y + -8y Combine like terms: 8y + -8y = 0 -38 + -4y = -24 + 0 -38 + -4y = -24 Add '38' to each side of the equation. -38 + 38 + -4y = -24 + 38 Combine like terms: -38 + 38 = 0 0 + -4y = -24 + 38 -4y = -24 + 38 Combine like terms: -24 + 38 = 14 -4y = 14 Divide each side by '-4'. y = -3.5 Simplifying y = -3.5
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