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Simplifying -85 + 8y + 7 = 3(5y + -4) + -3 Reorder the terms: -85 + 7 + 8y = 3(5y + -4) + -3 Combine like terms: -85 + 7 = -78 -78 + 8y = 3(5y + -4) + -3 Reorder the terms: -78 + 8y = 3(-4 + 5y) + -3 -78 + 8y = (-4 * 3 + 5y * 3) + -3 -78 + 8y = (-12 + 15y) + -3 Reorder the terms: -78 + 8y = -12 + -3 + 15y Combine like terms: -12 + -3 = -15 -78 + 8y = -15 + 15y Solving -78 + 8y = -15 + 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. -78 + 8y + -15y = -15 + 15y + -15y Combine like terms: 8y + -15y = -7y -78 + -7y = -15 + 15y + -15y Combine like terms: 15y + -15y = 0 -78 + -7y = -15 + 0 -78 + -7y = -15 Add '78' to each side of the equation. -78 + 78 + -7y = -15 + 78 Combine like terms: -78 + 78 = 0 0 + -7y = -15 + 78 -7y = -15 + 78 Combine like terms: -15 + 78 = 63 -7y = 63 Divide each side by '-7'. y = -9 Simplifying y = -9
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