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Simplifying 12(y + -5) + 9 = -3 + 16(y + -7) + 12 Reorder the terms: 12(-5 + y) + 9 = -3 + 16(y + -7) + 12 (-5 * 12 + y * 12) + 9 = -3 + 16(y + -7) + 12 (-60 + 12y) + 9 = -3 + 16(y + -7) + 12 Reorder the terms: -60 + 9 + 12y = -3 + 16(y + -7) + 12 Combine like terms: -60 + 9 = -51 -51 + 12y = -3 + 16(y + -7) + 12 Reorder the terms: -51 + 12y = -3 + 16(-7 + y) + 12 -51 + 12y = -3 + (-7 * 16 + y * 16) + 12 -51 + 12y = -3 + (-112 + 16y) + 12 Reorder the terms: -51 + 12y = -3 + -112 + 12 + 16y Combine like terms: -3 + -112 = -115 -51 + 12y = -115 + 12 + 16y Combine like terms: -115 + 12 = -103 -51 + 12y = -103 + 16y Solving -51 + 12y = -103 + 16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-16y' to each side of the equation. -51 + 12y + -16y = -103 + 16y + -16y Combine like terms: 12y + -16y = -4y -51 + -4y = -103 + 16y + -16y Combine like terms: 16y + -16y = 0 -51 + -4y = -103 + 0 -51 + -4y = -103 Add '51' to each side of the equation. -51 + 51 + -4y = -103 + 51 Combine like terms: -51 + 51 = 0 0 + -4y = -103 + 51 -4y = -103 + 51 Combine like terms: -103 + 51 = -52 -4y = -52 Divide each side by '-4'. y = 13 Simplifying y = 13
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