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Simplifying 2y + -7 = 19y + 78 Reorder the terms: -7 + 2y = 19y + 78 Reorder the terms: -7 + 2y = 78 + 19y Solving -7 + 2y = 78 + 19y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-19y' to each side of the equation. -7 + 2y + -19y = 78 + 19y + -19y Combine like terms: 2y + -19y = -17y -7 + -17y = 78 + 19y + -19y Combine like terms: 19y + -19y = 0 -7 + -17y = 78 + 0 -7 + -17y = 78 Add '7' to each side of the equation. -7 + 7 + -17y = 78 + 7 Combine like terms: -7 + 7 = 0 0 + -17y = 78 + 7 -17y = 78 + 7 Combine like terms: 78 + 7 = 85 -17y = 85 Divide each side by '-17'. y = -5 Simplifying y = -5
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